UC-NRLF 


B    4    111    023 


>ix  Place 

mMmmm 


1 :  ARI RSI 


L     L:Si 


WELLS'S  MATHEMATICAL  SERIES. 


Academic  Arithmetic. 

First  Course  in  Algebra. 

Algebra  for  Secondary  Schools. 

Text-Book  in  Algebra. 

Essentials  of  Algebra. 

Academic  Algebra. 

New  Higher  Algebra. 

University  Algebra. 

College  Algebra. 

Advanced  Course  in  Algebra. 

New  Plane  and  Solid  Geometry. 

Essentials  of  Plane  and  Solid  Geometry. 

Complete  Trigonometry. 

New  Plane  Trigonometry. 

New  Plane  and  Spherical  Trigonometry. 

Four- Place  Logarithmic  Tables. 

Six-Place  Logarithmic  Tables. 


D.  C.  HEATH  &  CO..  Publishers. 


SIX   PLACE 


LOGARITHMIC    TABLES, 


TOGETHER  WITH  ▲ 


TABLE  OF  NATURAL  SINES,   COSINES,  TANGENTS, 
AND  COTANGENTS. 


PREPARED   BY 


WEBSTER    WELLS,    S.B., 

professor  of  mathematics  in  the  massachusetts 
Institute  of  Technology. 


U^  ' 


D.  0.  HEATH  AND  COMPANY 

BOSTON        NEW  YORK        CHICAGO       ATLANTA 
DALLAS       SAN  FRANCISCO       LONDON 


A-5- 


I 

-      •  COPYB'GHT,   1891. 

Et   WEBSTER  WELL?, 


Priuted  in  U.  S.  A. 


INTRODUCTION. 


I.    USE  OP  THE  TABLE  OF  LOGARITHMS  OF  NUMBERS. 

This  table  (pages  2  to  16)  gives  the  mantissae  of  the  logarithms  of  all 
numbers  of  four  figures  from  1000  to  10000,  calculated  to  six  places  of 
decimals. 

To  find  the  logarithm  of  any  number  of  four  figures. 

Find  in  the  column  N.  the  first  three  figures  of  the  given  number. 
Then  the  required  mantissa  will  be  found  in  the  corresponding  horizontal 
line,  in  the  vertical  column  headed  by  the  fourth  figure  of  the  number. 

If  only  the  last  four  figures  of  the  mantissa  are  found,  the  first  two 
may  be  obtained  from  the  nearest  mantissa  above,  in  the  same  column, 
which  contains  six  figures. 

Finally,  prefix  the  proper  characteristic. 

For  example,  log   140.8  =  2.148603  ; 

log  .05837  =  8.766190  -  10. 

For  numbers  of  one,  two,  or  three  figures,  the  column  headed  0  may 
be  used ;  for  log  167  has  the  same  mantissa  as  log  1670,  log  8.3  the  same 
mantissa  as  log  8300,  and  log  .9  the  same  mantissa  as  log  9000 ;  thus, 

log  167  =  2.222716,  log  8.3  =  0.919078,  and  log  .9  =  9.954243  -  10. 

To  find  the  logarithm  of  a  number  of  more  than  four  figures. 

Required  the  logarithm  of  3296.78. 
We  find  from  the  table,     log  3296  =  3.517987 ; 
log  3297  =  3.518119. 

That  is,  an  increase  of  one  unit  in  the  number  produces  an  increase 
of  .000132  in  the  logarithm. 

Then  an  increase  of  .78  of  a  unit  in  the  number  will  produce  an 
increase  of  .78  X  .000132  in  the  logarithm,  or  .000103  to  the  nearest  sixth 
decimal  place. 

Whence,      log  3296.78  =  3.517987  +  .000103  =  3.518090. 


M37104 


iv  INTRODUCTION. 

Note  I.  The  foregoing  method  is  based  on  the  assumption  that  the  differences  of 
logarithms  are  proportional  to  the  differences  of  their  corresponding  numbers,  which, 
though  not  strictly  accurate,  is  sufficiently  exact  for  practical  purposes. 

Note  II.  The  difference  between  any  mantissa  in  the  table  and  the  mantissa  of 
the  next  higher  number  of  four  figures,  is  called  the  tabular  difference. 

The  following  rule  is  derived  from  the  above : 

Find  from  the  table  the  mantissa  of  the  first  four  significant  figures,  and 
the  tabular  difference.     (See  Note  III.) 

Multiply  the  latter  by  the  remaining  figures  of  the  number  with  a  decimal 
point  before  them.     (See  Note  IV.) 

Add  the  result  to  the  mantissa  of  the  first  four  figures,  and  prefix  the 
proper  characteristic. 

Example.     Find  the  logarithm  of  .002243076. 


Mantissa  of  2243  =  350829 
15 

Tabular  difference  =  194 
.076 

350844 
Result,  7.350844  - 10. 

1164 
13  58 

Correction          =  14.744 

=  15,  nearly. 

Note  III.     The  tabular  difference  may  be  conveniently  found  as  follows : 
Subtract  the  last  figure  of  the  mantissa  from  the  last  figure  of  the  next  greater,  and 

then  take  the  nearest  integer,  ending  in  that  figure,  to  the  number  in  the  column  D.  in 

the  same  line. 

Thus,  in  the  above  example,  the  last  figure  of  the  mantissa  of  2243  is  9,  and  of  the 

next  greater  mantissa,  3 ;  9  from  13  leaves  4,  and  the  nearest  integer,  ending  in  4,  to 

193,  the  number  in  the  column  D.,  is  194,  the  proper  tabular  difference. 

Note  IV.  In  finding  the  correction  to  the  nearest  unit's  figure,  the  decimal  por- 
tion may  be  omitted  provided  that,  if  it  is  equal  to  or  greater  than  .5,  the  unit's  figure 
is  increased  by  1. 

Thus,  13.26  would  be  taken  as  13  ;  30.5  as  31 ;  and  22.803  as  23. 

To  find  the  number  corresponding  to  a  logarithm. 

1.  Required  the  number  whose  logarithm  is  1.693551. 

Find  in  the  table  the  mantissa  693551. 

In  the  corresponding  line,  in  the  column  N.,  we  find  493,  the  first 
three  figures  of  the  required  number,  and  at  the  head  of  the  column  we 
find  8,  the  fourth  figure. 

Since  the  characteristic  is  1,  there  must  be  two  figures  to  the  left  of 
the  decimal  point. 

Whence,  number  corresponding  to  1.693551  =  49.38. 


INTRODUCTION.  V 

2.  Required  the  number  whose  logarithm  is  3.950185. 

We  find  in  the  table  the  mantissa  950170,  whose  corresponding  num- 
ber is  8916,  and  the  mantissa  950219,  whose  corresponding  number  is  8917. 

That  is,  an  increase  of  49  in  the  mantissa  produces  an  increase  of  one 

unit  in  the  number  corresponding. 

Then  an  increase  of  15  in  the  mantissa  will  produce  an  increase  of  — 

49 
of  a  unit  in  the  number  corresponding,  or  .31  nearly. 

Whence,  number  corresponding  =  8916  -f  .31  =  8916.31. 
The  following  rule  is  derived  from  the  above : 

Find  from  the  table  the  next  less  mantissa,  the  four  figures  corresponding, 
and  the  tabular  difference.     (See  Note  III.) 

Subtract  the  next  less  mantissa  from  the  given  mantissa,  and  divide  the 
remainder  by  the  tabular  difference.      (See  Note  VI.) 

Annex  the  quotient  to  the  first  four  figures  of  the  number,  and  point  off 
the  residt.     (See  Note  V.) 

Note  V.  The  rules  for  pointing  off  are  the  reverse  of  the  rules  for  characteristic  ; 
they  may  be  stated  as  follows : 

I.  If  — 10  is  not  written  after  the  mantissa,  add  1  to  the  characteristic,  giving  the 
number  of  places  to  the  left  of  the  decimal  point. 

II.  If  —  10  is  written  after  the  mantissa,  subtract  the  positive  part  of  the  character- 
istic from  9,  giving  the  number  of  ciphers  to  be  placed  between  the  decimal  point  and  first 
significant  figure. 

Example.     Find  the  number  whose  logarithm  is  7.427662  — 10. 

427662 
Next  less  mantissa  =  427648 ;  four  figures  corresponding  =  2677. 

Tabular  difference  =  163)14.000(.085  =  .09,  nearly. 
13  04 


960 
Result,  .00267709. 

Note  VI.  The  correction  can  usually  be  depended  upon  to  two  decimal  places ; 
the  division  should  be  carried  out  to  three  decimal  places  in  order  to  determine  the 
last  figure  accurately.     (See  Note  IV.) 


II.    USE  OF  THE  TABLE  OF  LOGARITHMIC  SINES,   COSINES,   ETC. 

This  table  (pages  18  to  62)  gives  the  logarithms  of  the  sines,  cosines, 
tangents,  and  cotangents  of  all  angles  at  intervals  of  one  minute  from  0° 
to  90°. 


vi  INTRODUCTION. 

For  angles  between  0°  and  45°,  the  degrees  will  be  found  at  the  top  of 
the  page,  the  minutes  in  the  left-hand  column,  and  the  functions  in  the 
columns  designated  by  the  names  at  the  top ;  that  is,  sines  in  the  first 
column,  cosines  in  the  second,  tangents  in  the  third,  and  cotangents  in 
the  fourth. 

For  angles  between  45°  and  90°,  the  degrees  will  be  found  at  the  foot 
of  the  page,  the  minutes  in  the  right-hand  column,  and  the  functions  in 
the  columns  designated  by  the  names  at  the  foot;  that  is,  cosines  in  the 
first  column,  sines  in  the  second,  cotangents  in  the  third,  and  tangents  in 
the  fourth. 

The  sines  and  cosines  of  all  acute  angles,  the  tangents  of  angles 
between  0°  and  45°,  and  the  cotangents  of  angles  between  45°  and  90°, 
being  less  than  unity,  the  characteristics  of  their  logarithms  have  been 
increased  by  10,  and  — 10  must  be  written  after  their  mantissse ;  in  all 
other  cases,  the  true  value  of  the  characteristic  is  given  in  the  table. 

Thus,  log  sin  38°  37 '  =  9. 795259  -  10 ; 

log  tan  66°  20'  =  0.358253 ; 
log  cot  79°   3'  =  9.286624  -  10 ; 
log  cos  85°  51'  =  8.859546  -  10. 

To  find  the  logarithmic  sine,  cosine,  tangent,  or  cotangent  of  any  acute 
angle  expressed  in  degrees,  minutes,  and  seconds. 

Find  from  the  table  the  logarithmic  sine,  cosine,  tangent,  or  cotangent  of 
the  degrees  and  minutes,  and  the  difference  for  1"  corresponding.  (See 
Note  VII.  below.) 

Multiply  this  difference  by  the  number  of  seconds.     (See  Note  IV.) 

If  sine  or  tangent,  add  \  ^  correction. 

If  cosine  or  cotangent,  subtract ) 

Note  VII.  The  columns  immediately  to  the  right  of  those  headed  "Sin.," 
"Cos.,"  and  "Tan.,"  contain  the  respective  differences  for  1"  ;  the  right-hand  column 
of  differences  is  also  to  be  used  with  the  column  headed  "  Cot." 

It  will  be  observed  that  the  differences  do  not  stand  in  the  same  horizontal  line 
with  the  logarithms,  but  opposite  the  intervals  between  consecutive  logarithms.  With 
the  degrees  at  the  top  of  the  page,  the  difference  next  below  should  be  taken  ;  with  the 
degrees  at  the  foot  of  the  page,  the  difference  next  above. 

Note  VIII.  The  rule  given  above  assumes  that  the  differences  of  the  logarithmic 
functions  are  proportional  to  the  differences  of  their  corresponding  angles,  which, 
unless  the  angle  is  very  near  to  0°  or  90°,  is  in  general  sufficiently  exact  for  practical 
purposes.     (See  page  x.) 


INTRODUCTION. 


1.   Find  logtanl7°13'51". 

log  tan  17°  13'  =  9.491180  -  10  D.  1"  =  7.45 

380  51 


Result,  9.491560  - 10 


379.95  =  380,  nearly. 


2.   Find  log  cos  66°  38' 23". 

log  cos  66°  38'  =  9.598368  -  10  D.  1"  =  4.88 

112  23 

Result,  9.598256  - 10  14  64 

97  6 


112.24  =  112,  nearly. 

To  find  the  acute  angle  corresponding  to  a  given  logarithmic  sine, 
cosine,  tangent,  or  cotangent. 

Take  from  the  table,  if  sine  or  tangent,  the  next  less,  if  cosine  or  cotangent, 
the  next  greater,  logarithmic  function,  the  degrees  and  minutes  corresponding, 
and  the  difference  for  1".     (See  Note  IX.  below.) 

Find  the  difference  between  the  given  logarithm  and  that  taken  from  the 
table,  and  divide  it  by  the  difference  for  1",  giving  the  correction  in  seconds. 

Add  the  result  to  the  degrees  and  minutes. 

Note  IX.  In  searching  for  the  next  less  (or  greater)  logarithm,  attention  must 
be  paid  to  the  fact  that  the  functions  are  found  in  different  columns  according  as  the 
angle  is  below  or  above  45°. 

If,  for  example,  the  next  less  logarithmic  sine  is  found  in  the  column  with  "  Sin." 
at  the  top,  the  degrees  must  be  taken  from  the  top  of  the  page,  and  the  minutes  from 
the  left-hand  column;  but  if  it  is  found  in  the  column  with  "Sin."  at  the  foot,  the 
degrees  must  be  taken  from  the  foot  of  the  page,  and  the  minutes  from  the  right-hand 
column.     Similar  considerations  hold  with  respect  to  the  other  three  functions. 

1.   Find  the  angle  whose  log  sin  =  9.959345  —  10. 

9.959345  - 10 
Next  less  log  sin  =  9.959310  —  10 ;  angle  corresponding  =  65°  35f. 

D.  1"  =      .97)35  (36.08  =  36.1,  nearly. 
291 

"590 

582 


Result,  65°  35' 36.1".  800 


i  INTRODUCTION. 

2.   Find  the  angle  whose  log  cot  =  0.169602. 

Next  greater  log  cot  =  0.169651 ;  angle  corresponding  =  34°  5'. 
0.169602 


D.  1"  =  4.53)49(10.81  =  10.8,  nearly. 
453 


3700 
3624 


Result,  34°  5'  10.8".  760 

Note  X.  In  finding  the  logarithmic  sine  of  an  angle  between  85°  and  90°,  or  the 
logarithmic  cosine  of  an  angle  between  0°  and  5°,  it  is  better  to  obtain  the  correction 
by  multiplying  the  difference  between  the  next  less  and  next  greater  logarithms  by  the 
number  of  seconds,  and  dividing  the  result  by  60. 

In  finding  the  angle  corresponding  in  the  same  cases,  the  correction  in  seconds  may 
be  obtained  by  multiplying  the  difference  between  the  given  logarithm  and  that  taken 
from  the  table  by  60,  and  dividing  the  result  by  the  difference  between  the  next  less 
and  next  greater  logarithms. 

To  find  the  logarithmic  secant  or  cosecant  of  any  acute  angle. 

Since  sec  x  = and  esc  x  =  — — ,  we  have 

cos  x  sin  x 

log  sec  x  =  colog  cos  x,  and  log  esc  x  =  colog  sin  x. 

Hence,  to  find  the  logarithmic  secant,  subtract  the  logarithmic  cosine  from 
10  — 10 ;  and  to  find  the  logarithmic  cosecant,  subtract  the  logarithmic  sine 
from  10  - 10. 

Example.     Find  log  sec  22°  38'. 

From  the  table,  we  find       log  cos  22°  38'  =  9.965195  -  10. 

Subtracting  from  10  -  10,  log  sec  22°  38'  =  0.034805. 

Note  XI.  The  logarithmic  cotangent  of  an  angle  may  be  obtained  by  subtracting 
the  logarithmic  tangent  from  10  —  10. 

To  find  the  logarithmic  functions  of  an  angle  not  lying  between  the 
limits  0°  and  90°. 

Any  function  of  any  angle  may  be  expressed  as  a  function  of  a  certain 
acute  angle ;  and  hence  the  table  of  functions  of  acute  angles  serves  to 
determine  the  functions  of  angles  of  any  magnitude  whatever,  positive  or 
negative. 

Let  it  be  required,  for  example,  to  find  log  sin  152°  16'. 

We  have,         sin  152°  16'  =  sin (90°  +  62°  16')  =  cos  62°  16'. 


INTRODUCTION.  ix 

Whence,     log  sin  152°  16'  =  log  cos  62°  16'  =  9.667786  - 10. 

Or  we  may  proceed  as  follows : 

sin  152°  16'  =  sin (180°  -  27°  44*)  =  sin  27°  44'. 

Note  XII.  If  the  natural  function  is  negative,  as  for  example  in  the  case  of  the 
cosine  of  an  angle  between  90°  and  180°,  there  is  no  logarithmic  function,  strictly 
speaking. 

In  the  solution  of  examples  involving  such  functions,  we  may  proceed  as  if  the 
functions  were  positive,  and  determine  the  algebraic  sign  of  the  result  irrespective  of 
the  logarithmic  work. 

m.     USE  OF  THE  TABLE  OF  NATURAL  SINES,  COSINES,  ETC. 

This  table  (pages  64  to  78)  gives  the  natural  values  of  the  sines, 
cosines,  tangents,  and  cotangents  of  all  angles  at  intervals  of  1'  from  0° 
to  90°,  calculated  for  sines,  cosines,  and  tangents  to  five  places  of  deci- 
mals, and  for  cotangents  to  five  significant  figures. 

Its  use  is  similar  to  that  of  the  table  of  logarithmic  functions,  except 
that  the  tabular  differences  for  1"  are  not  given,  but  are  to  be  calculated 
from  the  table  when  required. 

1.   Required  tan  41°  27' 14". 

tan  41°  27' =  .88317- 

The  difference  between  this  and  tan  41°  28'  is  52. 

Correction  for  14"  =  —  x  52  =  12,  nearly. 
60  '  J 

.88317 

12 


Kesult,  .88329 

2.   Required  the  angle  whose  cos  =  .45854. 

Next  greater  cos  =  .45865 ;  angle  corresponding  =  62°  42r. 
.45854 


11 

The  difference  between  cos  62°  42'  and  cos  62°  43'  is  26. 

Correction  in  seconds  =  —  X  60  =  25.4,  nearly. 

26 
Result,  62°  42' 25.4". 

Note  XIII.  To  find  a  natural  function  to  a  greater  degree  of  accuracy  than  is 
possible  from  the  table  of  natural  functions,  we  may  find  the  logarithmic  function  of 
the  angle,  and  take  the  number  corresponding  to  the  result. 


INTRODUCTION. 


IV.    USE  OF  THE  AUXILIARY  TABLE  FOR  SMALL  ANGLES. 

This  table  (page  79)  gives  the  values  of  the  expressions 

10  +  log  sin  x  —  log  x  and  10  +  log  tan  x  —  log  x, 

x  being  expressed  in  seconds,  for  all  angles  at  intervals  of  1'  from  0°  to 
4°  59'. 

It  may  be  used  to  find  the  logarithmic  sines  or  tangents  of  angles 
between  0°  and  5°,  or  the  angles  corresponding  in  the  same  cases,  to  a 
greater  degree  of  accuracy  than  is  possible  from  the  table  of  logarithmic 
functions.     (See  Note  VIII.) 

To  find  the  logarithmic  sine  or  tangent  of  an  angle  between  0°  and  5°. 

Find  from  the  auxiliary  table  the  logarithm  corresponding  to  the  given 
function,  add  to  the  result  the  logarithm  of  the  number  of  seconds  in  the  angle, 
and  write  —  10  after  the  mantissa. 

Example.     Find  log  tan  0°  43'  37". 

The  logarithms  corresponding  to  tan  0°43'  and  tan  0°  44'  are  4.685597 
and  4.685599 ;  the  difference  between  which  is  2. 

Q7 

Correction  for  37"  =  -x2  =  l,  nearly. 
60  J 

Adding  to  4.685597,  the  result  is  4.685598. 

The  given  angle,  reduced  to  seconds,  is  2617". 

4.685598  - 10 
log  2617  =  3.417804 

Eesult,       8.103402  - 10 

This  is  correct  to  the  sixth  place  of  decimals ;  the  result  by  the  table 
of  logarithmic  tangents  is  8.103375  —  10. 

To  find  the  angle  corresponding  to  a  given  logarithmic  sine  or  tangent, 
when  between  0°  and  5°. 

Find  from  the  table  of  logarithmic  functions  the  angle  corresponding  to  the 
given  logarithm,  to  the  nearest  second. 

Take  from  the  auxiliary  table  the  logarithm  corresponding  to  this  angle. 

Subtract  the  result  from  the  given  logarithm,  and  find  the  number  corre- 
sponding to  the  difference,  giving  the  required  angle  in  seconds. 

Example.     Find  the  angle  whose  log  sin  =  7.632366  —  10. 
The  angle  corresponding  is  0°  14'  45",  to  the  nearest  second. 


INTRODUCTION. 

The  logarithm  corresponding  to  sin  0°  14'  45"  is  4.685573  — 10. 

7.632366  - 10 
4.685573  - 10 


2.946793 

The  number  corresponding  to  this  logarithm  is  884.69. 
Then  the  required  angle  is  884.69",  or  0°  14'  44.69". 
This  is  correct  to  the  second  decimal  place  of  seconds ;  the  result  by 
the  table  of  logarithmic  sines  is  0°  14'  45.08". 

Note  XIV.     The  above  methods  serve  to  determine  with  accuracy  the  logarithmic 
cosine  or  cotangent  of  an  angle  between  85°  and  90°,  or  the  angle  corresponding  in  the 


To  find  accurately  the  logarithmic  tangent  of  an  angle  between  85°  and  90°,  find 
the  logarithmic  cotangent  of  the  angle  as  above,  and  subtract  the  result  from  10  —  10. 
(Note  XL) 

To  find  the  angle  corresponding  to  a  logarithmic  tangent  in  the  same  case,  find  the 
logarithmic  cotangent  of  the  angle  (Note  XL),  and  find  the  angle  corresponding  to  the 
result. 

These  methods  also  serve  to  determine  the  logarithmic  cotangent  of  an  angle 
between  0°  and  5°,  or  the  angle  corresponding  in  the  same  case. 


A  TABLE 


CONTAINING  THE 


LOGARITHMS   OF   NUMBERS 

FROM  1  TO  10,000. 


LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

IOO 

000000 

000434 

000868 

00  1301 

001734 

00  2166 

00  2598 

003029 

003461 

003891 

432 

IOI 

4321 

4751 

5181 

5609 

6038 

6466 

6894 

7321 

7748 

8174 

428 

102 

8600 

9026 

945 1 
01  3680 

9876 

01  0300 

01  0724 

01  1 147 

01  1570 

01  1993 

01  2415 

424 

I03 

01  2837 

01 3259 

01  4100 

4521 

494o 

5360 

5779 

6197 

6616 

420 

IO4 

7°33 

7451 

7868 

8284 

8700 

9116 

9532 

9947 

020361 

02  0775 

416 

105 

02  1 189 

02  1603 

02  2016 

02  2428 

02  2841 

02  3252 

02  3664 

02  4075 

024486 

02  4896 

412 

IO6 

53o6 

5715 

6125 

6533 

6942 

735° 

7757 

8164 

8571 1  8978 

408 

107 

9384 

9789 
03  3826 

030195 

030600 

03  1004 

03  1408 

03  1812 

03  2216 

03  2619  03  3021 

404 

108 

03  3424 

4227 

4628 

5029 

543o 

5830 

6230 

6629   7028 

400 

iog 

7426 

7825 

8223 

8620 

9017 

9414 

981 1 

04  0207 

04  0602 

040998 

397 

no 

04  1393 

04 1787 

042182 

042576 

04  2969 

04  3362 

04  3755 

044148 

04  4540 

044932 

393 

in 

5323 

5714 

6105 

6495 

6885 

7275 

7664 

8053 

8442 

8830 

390 

112 

9218 

9606 

9993 

05  0380 

05  0766 

05  1 153 

05  1538 

05  1924 

05  2309 

05  2694 

386 

"3 

05  3078 

05  3463 

05  3846 

4230 

4613 

4996 

5378 
9185 

5760 

6142 

6524 

383 

114 

6905 

7286 

7666 

8046 

8426 

8805 

9563 

9942 

06  0320 

379 

"5 

06  0698 

06  1075 

06  1452 

06  1829 

06  2206 

06  2582 

06  2958 

06  3333 

06  3709 

06  4083 

376 

116 

4458 

4832 

5206 
8928 

558o 

5953 

6326 

6699 

7071 

7443 

7815 

373 

117 

8186 

8557 

929S 

9668 

070038 

07  0407 

07  0776 

07  "45 

071514 

37o 

118 

07 1882 

07  2250 

07  2617 

07  2985 

07  3352 

37i8 

4085 

445 ' 

4816 

5182 

366 

119 

5547 

5912 

6276 

6640 

7004 

7368 

7731 

8094 

8457 

8819 

363 

120 

079181 

°7  9543 

07  9904 

08  0266 

08  0626 

08  0987 

08  1347 

08  1707 

08  2067 

08  2426 

360 

121 

08  2785 

083144 

08  3503 

3861 

4219 

4576 

4934 

5291 
8845 

5647 

6004 

357 

122 

6360 

6716 

7071 

7426 

7781 

8136 

8490 

9198 

9552 

355 

123 

9905 

09  0258 

09  061 1 

09  0963 

091315 

09  1667 

092018 

09  2370 

09  2721 

09  3071 

352 

124 

09  3422 

3772 

4122 

4471 

4820 

5169 

5518 

5866 

6215 

6562 

349 

"5 

09  6910 

097257 

09  7604 

097951 

09  8298 

09  8644 

09  8990 

09  9335 

09  9681 

100026 

346 

126 

10  0371 

100715 

10  1059 

10  1403 

10  1747 

10  2091 

10  2434 

102777 

103119 

3462 

343 

127 

3804 

4146 

4487 

4828 

5169 

55io 
8903 

5851 

6191 

6531 

6871 

34i 

128 

7210 

7549 

7S88 

8227 

8565 

9241 

9579 

99i6 

11  0253 

338 

129 

1 i  0590 

11  0926 

n  1263 

11 1599 

11  1934 

n  2270 

1 1  2605 

n  2940 

11  3275 

3609 

335 

130 

"3943 

n  4277 

11  461 1 

1 1  4944 

11  5278 

n  5611 
8926 

11  5943 

11  6276 

11  6608 

1 1  6940 

333 

131 

7271 

•  7603 

7934 

8265 

8595 

9256 

9586 

9915 
12  3198 

120245 

330 

132 

120574 

1 2  0903 

12  1231 

12  1560 

12  1888 

12  2216 

122544 

12  2871 

3525 

328 

133 

3852 

4178 

4504 

4830 

5156 
8399 

548i 

5806 

6131 

6456 

6781 

325 

134 

7105 

7429 

7753 

8076 

8722 

9045 

9368 

9690 

130012 

323 

135 

13  0334 

130655 
3858 

130977 

13  1298 

131619 

13  1939 

13  2260 

132580 

13  2900 

13  3219 

321 

136 

3539 

4177 

4496 

4814 

§133 

§303 

8618 

5769 

6086 

6403 

3i8 

137 

6721 

7037 

7354 

7671 

7987 

8934 

9249 

9564 

3i6 

138 

9879 

14  0194 

140508 

140822 

141136 

14  1450 

14  1763 

14  2076 

14  2389 

142702 

3i4 

139 

14  3015 

3327 

3639 

395 1 

4263 

4574 

4885 

5196 

5507 

5818 

3" 

140 

14  6128 

14  6438 

14  6748 

14  7058 

14  7367 

147676 

14  7985 

148294 

14  8603 

14  891 1 

309 

141 

9219 

9527 

9835 

15  0142 

15  0449 

150756 

15  1063 

15  1370 

15  1676 

15  1982 

307 

142 

15  2288 

15  2594 

15  2900 

3205 

35io 

3815 

4120 

4424 

4728 

5032 
8061 

305 

143 

5336 

5640 
8664 

5943 

6246 

6549 

6852 

7154 

7457 

7759 

303 

144 

8362 

8965 

9266 

9567 

9868 

16  0168 

160469 

160769 

16  1068 

301 

145 

16  1368 

16  1667 

16  1967 

162266 

16  2564 

162863 

163161 

163460 

163758 

164055 

299 

146 

4353 

4650 

4947 

5244 
8203 

554i 
8497 

5838 

6i34 

6430 

6726 

7022 

297 

147 

7317 

7613 

7908 

8792 

9086 

9380 

9674 

9968 

295 

148 

170262 

I7°555 

170848 

171141 

17  1434 

17  1726 

17  2019 

172311 

172603 

172895 

293 

149 

3186 

3478 

3769 

4060 

435i 

4641 

4932 

5222 

5512 

5802 

291 

150 

17  6091 

17  6381 

1 7  6670 

176959 

177248 

17  7536 

177825 

178113 

17  8401 

178689 

289 

151 

o8277 

9264 

9552 

9839 

180126 

180413 

1 8  0699 

180986 

18  1272 

18  1558 

287 

152 

18 1844 

18  2129 

18  2415 

182700 

2985 

3270 

3555 

3839 

4123 

4407 

285 

153 

4691 

4975 

52S9 

5542 

5825 
8647 

6108 

6391 

6674 

6956 

7239 

283 

154 

7521 

7803 

8084 

8366 

8928 

9209 

9490 

9771 

19  0051 

281 

155 

190332 

19  0612 

190892 

191171 

191451 

19  1730 

19  2010 

19  2289 

192567 

19  2846 

279 

156 

3125 

3403 

3681 

3959 

4237 

45*4 

4792 

5069 

5346 

5623 
8382 

278 

157 

5900 

8657 

6176 

6453 

6729 

7005 

7281 

7556 

7832 

8107 

276 

158 

8932 

9206 

9481 

9755 

200029 

200303 

200577 

20  0850 

20  1 1 24 

274 

159 

20 1397 

20  1670 

20  1943 

20  2216 

20  2488 

2761 

3033 

3305 

3577 

384S 

272 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

LOGARITHMS   OF   NUMBERS. 


N. 
160 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

204120 

204391 

20  4663 

20  4934 

20  5  204 

20  5475 

20  5746 

206016 

20  6286 

20  6556 

271 

161 

6826 

7096 

7365 

7634 

7904 

8173 

8441 

8710 

8979 

9247 

269 

162 
163 

9515 

81  2188 

9783 

21  2454 

21  0051 
2720 

21  0319 

2986 

21  0586 
3252 

21  0853 
3518 

21  1121 

3783 

21  1388 

21  1654 

21  1921 
4579 

267 
266 

4049 

4314 

164 

4844 

5IO9 

5373 

5638 

5902 

6166 

6430 

6694 

6957 

7221 

264 

165 

21  7484 

21  7747 

21  8010 

21  8273 

21  8536 

21  8798 

21  9060 

21  9323 

21  9585 

21  9846 

262 

166 

22  0I08 

22  O37O 

220631 

22  0892 

221153 

22  I4I4 

22  1675 

22  1936 

22  2196 

22  2456 

261 

167 

2716 

2976 

3236 

3496 

3755 

40I5 

4274 

4533 

4792 

5°5  * 

259 

168 

5309 

5568 
8144 

5826 

6084 

6342 

660O 

6858 

7"5 

7372 

7630 

258 

169 

7887 

8400 

8657 

8913 

917O 

9426 

9682 

9938 

230193 

256 

170 

23  O449 

23  O704 

23  0960 

231215 

23  1470 

23  I724 

23  1979 

23  2234 

23  2488 

23  2742 

255 

171 

2996 

3250 

3504 

3757 

401 1 

4264 

4517 

477° 

5023 

5276 

253 

172 

5528 

5781 

6033 

6285 

6537 

6789 

7041 

7292 

7544 

7795 

252 

173 

8046 

8297 

8548 

8799 

9049 

9299 

955° 

9800 

24  0050 

24  0300 

250 

174 

24  O549 

240799 

24  1048 

24  1297 

24  1546 

24*795 

24  2044 

24  2293 

2541 

2790 

249 

175 

176 

24  3038 
5513 

24  3286 

5759 

24  3534 
6006 

24  3782 

24  4030 

244277 
6745 

24  4525 
6991 

24  4772 
7237 

245019 
7482 

245266 
7728 

248 
246 

6252 

6499 

177 

7973 

8219 

8464 

8709 

8954 

9198 

9443 

9687 

9932 

250176 

245 

178 

25  0420 

25  0664 

25  0908 

251151 

25  1395 

25  1638 

25  1881 

25  2125 

25  2368 

2610 

243 

179 

2853 

3096 

3338 

358o 

3822 

4064 

4306 

4548 

4790 

5031 

242 

180 

25  5273 

25  55H 

25  5755 

25  5996 

25  6237 

25  6477 

25  6718 

25  6958 

25  7198 

25  7439 

241 

181 

7679 

7918 

8158 

8398 

8637 

8877 

9116 

9355 

9594 

9833 

239 

182 

260071 

260310 

260548 

260787 

26  1025 

26  1263 

26  1501 

.261739 

26  1976 

262214 

238 

183 

2451 

2688 

2925 

3162 

3399 

3636 

3873 

4109 

4346 

4582 

237 

184 

4818 

5054 

5290 

5525 

576i 

5996 

6232 

6467 

6702 

6937 

235 

185 

26  7172 

26  7406 

26  7641 

26  7875 

26  81 10 

26  8344 

268578 

268812 

269046 

26  9279 

234 

186 

9513 

9746 

9980 

270213 

27  0446 

270679 

27  0912 

27  "44 

27  1377 

27  1609 

233 

187 

27  1842 

27  2074 

27  2306 

2538 

2770 

3001 

3233 

3464 

3696 

3927 

232 

188 

4158 

4389 

4620 

4850 

5081 

53" 

5542 

5772 

6002 

6232 

230 

i8g 

6462 

6692 

6921 

7I51 

738o 

7609 

7838 

8067 

8296 

8525 

229 

190 

27  8754 

27  8982 

279211 

27  9439 

27  9667 

27  9895 

280123 

280351 

280578 

28  0806 

228 

191 

28  1033 

28  1261 

28  1488 

28  1715 

28  1942 

282169 

2396 

2622 

2849 

3075 

227 

192 

33oi 

3527 

3753 

3979 

4205 

443i 

4656 

4882 

5IQ7 

5332 

226 

193 

5557 

5782 
8026 

6007 

6232 

6456 

6681 

6905 

7J3o 

7354 

7578 

225 

194 

7S02 

8249 

8473 

8696 

8920 

9H3 

9366 

9589 

9812 

223 

195 

29  0035 

290257 

29  0480 

29  0702 

29  0925 

29  "47 

29  1369 

29  1591 

291813 

29  2034 

222 

196 

2256 

2478 

2699 

2920 

3141 

3363 

3584 

3804 

4025 

4246 

221 

197 

4466 

4687 

4907 

5'27 

5347 

5567 

5787 

6007 

6226 

6446 

220 

198 

6665 

6884 

7104 

7323 

7542 

7761 

7979 

8198 

8416 

8635 

219 

199 

8853 

9071 

9289 

9507 

9725 

9943 

300161 

30  0378 

30  0595 

300813 

218 

200 

30  1030 

301247 

30  1464 

30 1681 

30  1898 

30  21 14 

302331 

30  2547 

30  2764 

30  2980 

217 

201 

3196 

3412 

3628 

3844 

4059 

4275 

4491 

4706 

4921 

5X36 

216 

202 

535i 

5566 

578i 

5996 

621 1 

6425 

6639 

6854 

7068 

7282 

2I5 

203 

7496 

7710 

7924 

8137 

835i 

8564 

8778 

8991 

9204 

9417 

213 

204 

9630 

9843 

31  0056 

31  0268 

31  0481 

31  0693 

31  0906 

311118 

31  1330 

3i  1542 

212 

205 

3i  1754 

31  1966 

3i  2177 

3i  2389 

31  2600 

31  2812 

31  3023 

3i  3234 

31  3445 

3i  3656 

211 

206 

3867 

4078 

4289 

4499 

4710 

4920 

5x3o 

5340 

5551 

5760 

210 

207 

597o 

6180 

6390 

6599 

6809 

7018 

7227 

7436 

7646 

7854 

209 

208 

8063 

8272 

8481 

8689 

8898 

9106 

93H 

9522 

973° 

9938 

208 

209 

320146 

32  0354 

320562 

320769 

320977 

32  1 184 

321391 

32  1598 

32  1805 

32  2012 

207 

210 

322219 

32  2426 

32  2633 

32  2839 

32  3046 

323252 

32  3458 

32  3665 

323871 

32  4077 

206 

211 

4282 

4488 

4694 

4899 

5105 

53io 

55i6 

572i 

5926 

6131 

205 

212 

6336 

6541 

6745 

69  so 

7155 

7359 

7563 

7767 

7972 

8176 

204 

213 

8380 

8583 

8787 

8991 

9194 

9398 

9601 

9805 

33  000S 

33  021 1 

203 

214 

330414 

330617 

33  0S19 

33   IQ22 

331225 

33  1427 

33  1630 

33  1832 

2034 

2236 

202 

215 

33  2438 

33  2640 

33  2842 

33  3044 

33  3246 

33  3447 

33  3649 

33  3850 

334051 

33  4253 

202 

216 

4454 

4655 

4856 

5057 

5257 

5458 

5^8 

5859 

6059 

6260 

20 1 

217 

6460 

6660 

6860 

7060 

7260 

7459 

7659 

7858 

8058 

8257 

200 

218 

8456 

8656 

8855 

9054 

9253 

945 1 

9650 

9849 

340047 

34  0246 

199 

219 

34  0444 

34  0642 

34  0841 

34  1039 

34  1237 

34  1435 

34  1632 

34  1830 

2028 

2225 

198 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

220 

34  2423 

34  2620 

342817 

34  30H 

343212 

34  3409 

343606 

34  3802 

34  3999 

344196 

197 

221 

4392 

4589 

4785 

4981 

5178 

5374 

557o 

5766 

5962 

6l57 

196 

222 

6353 

6549 

6744 

6939 

7i35 

7330 

7525 

7720 

7915 

8110 

195 

223 

8305 

8500 

8694 

8889 

9083 

9278 

9472 

9666 

9860 

35  oo54 

194 

224 

35  0248 

350442 

35  o636 

35  o829 

35  ^23 

35  1216 

35  1410 

35  i6o3 

35  1796 

1989 

193 

325 

35  2l83 

35  2375 

35  2568 

35  2761 

35  2954 

35  3i47 

35  3339 

35  3532 

35  3724 

35  39i6 

193 

226 

4108 

4301 

4493 

4685 

4876 

5068 

5260 

5452 

5643 

5834 

192 

227 

6026 

6217 

6408 

6599 

6790 

6981 

7172 

7363 

7554 

7744 

191 

228 

7935 

8125 

8316 

8506 

8696 

8886 

9076 

9266 

9456 

9646 

190 

229 

9835 

360025 

360215 

36  0404 

36  0593 

36  0783 

36  0972 

36  1 161 

36  1350 

36  1539 

189 

230 

361728 

361917 

362105 

36  2294 

36  2482 

36  2671 

36  2859 

36  3048 

36  3236 

36  3424 

1 88 

231 

3612 

3800 

3988 

4176 

4363 

455i 

4739 

4926 

5"3 

53oi 

188 

232 

5488 

5675 

5862 

6049 

6236 

6423 

6610 

6796 

6983 

7169 

187 

233 

7356 

7542 

7729 

7915 

8101 

8287 

8473 

8659 

8845 

9030 

1S6 

234 

9216 

9401 

9587 

9772 

9958 

37  0143 

37  0328 

37  0513 

37  o698 

370S83 

1S5 

235 

37  Io68 

37  1253 

37  1437 

37  1622 

37  l8°6 

37  i99i 

37  2175 

37  2360 

37  2544 

37  2728 

184 

236 

2912 

3096 

3280 

3464 

3647 

3831 

4015 

4198 

4382 

4565 

1S4 

237 

4748 

4932 

5"5 

5298 

548i 

5664 

5846 

6029 

6212 

6394 

183 

238 
239 

6577 
8398 

6759 
8580 

6942 
8761 

7124 
8943 

7306 
9124 

7488 
9306 

7670 
9487 

7852 

8034 

8216 

3S  0030 

182 
181 

966S 

9849 

240 

38  021 1 

38  0392 

380573 

380754 

38  0934 

381115 

38  1296 

38  1476 

381656 

38  1S37 

181 

241 

2017 

2197 

2377 

2557 

2737 

2917 

3097 

3277 

3456 

3636 

180 

242 

3815 

3995 

4174 

4353 

4533 

4712 

4891 

5070 

5249 

5428 

179 

243 

5606 

5785 

5964 

6142 

6321 

6499 

6677 

6856 

7034 

7212 

•178 

244 

7390 

7568 

7746 

7923 

8101 

8279 

8456 

8634 

881 1 

8989 

178 

245 

389166 

38  9343 

38  9520 

38  9698 

38  9875 

390051 

39  0228 

39  0405 

39  0582 

39  0759 

177 

246 

39  0935 

39"i2 

39  1288 

39  1464 

39  it>4» 

1817 

1993 

2169 

2345 

2521 

170 

247 

2697 

2873 

3048 

3224 

3400 

3575 

375i 

3926 

4101 

4277 

176 

248 

4452 

4627 

4802 

4977 

5152 

5326 

550i 

5676 

5850 

6025 

175 

249 

6199 

6374 

6548 

6722 

6896 

7071 

7245 

7419 

7592 

7766 

J74 

250 

39  7940 

39  81 14 

39  8287 

39  8461 

39  8634 

39  8808 

39  8981 

39  9154 

39  9328 

39  95°i 

173 

251 

9674 

9847 

40  0020 

400192 

40  0365 

40  05  3S 

40  071 1 

40  0883 

40  1056  40  1228 

■73 

252 

40  1401 

40  1573 

1745 

1917 

2089 

2261 

2433 

2605 

2777 

2949 

172 

253 

3121 

3292 

3464 

3635 

3807 

3978 

4149 

4320 

4492 

4663 

171 

254 

4834 

5005 

5176 

5346 

5517 

5688 

5858 

6029 

6199 

6370 

171 

255 

40  6540 

406710 

406881 

407051 

40  7221 

40  739i 

40  756i 

40  7731 

40  7901 

40  So  70 

170 

256 

8240 

8410 

8579 

8749 

8918 

9087 

9257 

9426 

9595 

9764 

169 

257 

9933 

41  0102 

41  0271 

41  0440 

41  0609 

41  0777 

41  0946 

41  1114 

41  1283 

41  H51 

169 

258 

41  1620 

1788 

I956 

2124 

2293 

2461 

2629 

2796 

2964 

3132 

168 

259 

3300 

3467 

3635 

3803 

397° 

4i37 

4305 

4472 

4639 

4S06 

167 

260 

41  4973 

41  5140 

4i  5307 

41  5474 

41  564i 

41  5808 

41  5974 

41  6141 

41  6308 

41  6474 

167 

26l 

6641 

6807 

6973 

7139 

7306 

7472 

7638 

7804 

7970 

8i35 

160 

262 

8301 

8467 

8633 

8798 

8964 

9129 

9295 

9460 

9625 

9791 

165 

263 

9956 

420121 

42  0286 

420451 

420616 

420781 

42  0945 

42  mo 

421275 

42  1439 

165 

264 

42-1604 

1768 

1933 

2097 

2261 

2426 

2590 

2754 

2918 

3082 

164 

265 

42  3246 

42  3410 

42  3574 

42  3737 

42  3901 

42  4065 

42  4228 

42  4392 

424555:424718 

164 

266 

4882 

5°45 

5208 

5371 

5534 

5697 

5860 

6023 

6186 1   6349 

163 

267 

651 1 

6674 

6836 

6999 

7.61 

7324 

7486 

7648 

781 1   7973 

162 

268 

8i35 

8297 

8459 

■  8621 

8783 

8944 

9106 

9268 

9429   959i 

162 

269 

9752 

9914 

430075 

43  0236 

43  0398 

43  0559 

43  0720 

430881 

43  1042  1 43  1203 

161 

270 

43  1364 

43  1525 

43  1685 

43  1846 

432007 

432167 

43  2328 

43  2488 

43  2649  43  2809 

161 

271 

2969 

3I30 

3290 

345° 

3610 

377o 

3930 

4090 

4249 

4409 

160 

27a 

4569 

4729 

4888 

5048 

52°7 

5367 

5526 

5685 

5844 

6004 

159 

273 

6163 

6322 

6481 

6640 

6799 

6957 

7116 

7275 

7433 

7592 

15t 

274 

7751 

7909 

8067 

8226 

8384 

8542 

8701 

8859 

9017 

9175 

158 

275 

43  9333 

43  9491 

43  9648 

43  9806 

43  9964 

440122 

440279 

440437 

440594 

440752 

158 

276 

440909 

44  1066 

441224 

44  1 381 

44  1538 

1695 

1852 

2009 

2166 

2323 

157 

277 

2480 

2637 

2793 

2950 

3106 

3263 

3419 

3576 

3732 

3889 

157 

278 

4045 

4201 

4357 

4513 

4669 

4825 

4981 

5137 

5293 

5449 

156 

^ 

279 

5604 

5760 

5915 

6071 

6226 

6382 

6537 

6692 

6848 

7003 

155 

J 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

■; 


LOGARITHMS   OF   NUMBERS. 


t 

N. 

0 

1 

2 

3 

4 

5 

6    7 

8 

9 

D. 

280 

447158 

44  7313 

44746S 

447623 

44  7778 

44  7933 

44  80S8 

448242 

448397 

448552 

i55 

281 

8706 

8861 

9015 

9170 

9324 

9478 

9633 

9787 

9941 

45  0095 

'54 

282 

45  °249 

45  0403 

45  0557 

45  071 1 

45  0865 

45  1018 

45  "72 

45  1326 

45  J479 

1633 

*54 

283 

1786 

1940 

2093 

2247 

2400 

2553 

2706 

2859 

3012 

3165 

'53 

284 

33i8 

347i 

3624 

3777 

393o 

4082 

4235 

4387 

4540 

4692 

J53 

285 

45  4845 

45  4997 

45  5I5° 

45  5302 

45  5454 

45  5606 

45  5758 

45  59io 

45  6062 

45  6214 

J52 

286 

6366 

6518 

6670 

6821 

6973 

7125 

7276 

7428 

7579 

773i 

'52 

287 

7882 

8033 

8184 

8336 

8487 

8638 

8789 

8940 

9091 

9242 

151 

288 

9392 

9543 

9694 

9845 

9995 

460146 

460296 

460447 

460597 

46  0748 

J5i 

28g 

46  0898 

46  1048 

46  1 198 

46  1348 

46  1499 

1649 

1799 

194S 

2098 

2248 

!50 

2go 

46  2398 

46  254S 

46  2697 

46  2847 

46  2997 

463146 

46  3296 

46  3445 

46  3594 

463744 

150 

291 

3893 

4042 

4191 

4340 

4490 

4639 

4788 

4936 

5085 

5234 

149 

292 

5383 

5532 

5680 

5829 

5977 

6126 

6274 

6423 

6571 

6719 

149 

293 

6868 

7016 

7164 

73i2 

7460 

7608 

7756 

7904 

8052 

8200 

148 

294 

8347 

8495 

8643 

8790 

8938 

9085 

9233 

938o 

9527 

9675 

148 

295 

46  9822 

46  9969 

470116 

470263 

470410 

47  0557 

47  0704 

470851 

47  0998 

47  » *45 

147 

296 

47 1292 

47  J438 

1585 

1732 

1878 

2025 

2171 

2318 

2464 

2610 

146 

297 

2756 

2903 

3049 

3195 

334i 

3487 

3633 

3779 

3925 

4071 

146 

298 

4216 

4362 

4508 

4653 

4799 

4944 

5090 

5235 

538i 

5526 

146 

299 

5671 

5816 

5962 

6107 

6252 

.   6397 

6542 

6687 

6832 

6976 

145 

300 

477121 

47  7266 

47  74" 

47  7555 

47  7700 

47  7844 

47  7989 

47  8133 

47  8278 

47  8422 

J45 

301 

8566 

871 1 

8855 

8999 

9H3 

9287 

943i 

9575 

9719 

9863 

144 

302 

480007 

48  01 5 1 

48  0294 

48  0438 

480582 

480725 

48  0869 

48  1012. 

48  1 156 

48  1299 

144 

303 

1443 

1586 

1729 

1872 

2016 

2159 

2302 

2445 

2588 

2731 

143 

304 

2874 

3016 

3159 

3302 

3445 

3587 

3730 

3872 

4015 

4157 

J43 

305 

484300 

484442 

484585 

484727 

48  4869 

48  501 1 

48  5^3 

48  5295 

48  5437 

48  5579 

142 

306 

5721 

5863 

6005 

6147 

6289 

6430 

6572 

6714 

6855 

6997 

142 

307 

7138 

7280 

7421 

7563 

7704 

7845 

7986 

8127 

8269 

8410 

141 

308 

855i 

8692 

8833 

8974 

91 14 

9255 

9396 

9537 

9677 

9818 

141 

309 

9958 

490099 

49  0239 

49  0380 

490520 

49  0661 

49  0801 

490941 

49  1081 

49  1222 

140 

310 

49  1362 

49  I5°2 

49  1642 

491782 

49  1922 

49  2062 

49  2201 

49  2341 

49  2481 

49  2621 

140 

3" 

2760 

2900 

3040 

3179 

33i9 

3458 

3597 

3737 

3876 

4015 

139 

312 

4155 

4294 

4433 

4572 

471 1 

4850 

49S9 

5128 

5267 

5406 

139 

313 

5544 

5683 

5822 

5960 

6099 

6238 

6376 

6515 

6653 

6791 

139 

314 

6930 

706a 

7206 

7344 

7483 

7621 

7759 

'  7897 

8035 

8i73 

138 

315 

49  831 1 

498448 

49  8586 

49  8724 

49  8862 

49  8999 

49  9137 

49  9275 

499412 

49  955° 

138 

316 

9687 

9824 

9962 

500099 

500236 

50  0374 

50  ^o1 

50  0648 

•500785 

50  0922 

137 

317 

50  1059 

50  1 196 

5°  r  333 

1470 

1607 

1744 

1880 

2017 

2154 

2291 

137 

3i8 

2427 

2564 

2700 

2837 

2973 

3109 

3246 

3382 

35i8 

3655 

136 

319 

3791 

3927 

4063 

4199 

4335 

447 1 

4607 

4743 

4878 

5014 

136 

320 

505i50 

50  5286 

50  5421 

50  5557 

5°  5693 

50  5828 

50  5964 

50  6099 

50  6234 

50  6370 

136 

321 

6505 

6640 

6776 

691 1 

7046 

7181 

7310 

7451 

7586 

7721 

J35 

322 

7856 

7991 

8126 

8260 

8395 

8530 

8664 

8799 

8934 

9068 

r35 

323 

9203 

9337 

9471 

9606 

9740 

9874 

51  0009 

51  0143 

510277 

51  041 1 

134 

324 

510545 

51  0679 

51  0813 

5io947 

51  1081 

51  1215 

1349 

1482 

1616 

1750 

134 

325 

51  1883 

51  2017 

5I2I5! 

51  2284 

51  2418 

5I255! 

51  2684 

51  2818 

51  2951 

51  3084 

133 

326 

3218 

3351 

3484 

3617 

375° 

3883 

4016 

4149 

4282 

4415 

133 

327 

4548 

4681 

4813 

4946 

5079 

5211 

5344 

5476 

5609 

574i 

133 

328 

5874 

6006 

6139 

6271 

6403 

6535 

6668 

6800 

6932 

7064 

132 

329 

7196 

7328 

7460 

7592 

7724 

7855 

7987 

Si  19 

8251 

8382 

132 

33° 

51  8514 

51  8646 

5l8777 

51  8909 

51  9040 

519171 

51  9303 

51  9434 

S1  9566 

51  9697 

131 

33i 

9828 

9959 

520090 

520221 

520353 

520484 

520615 

520745 

520876 

52 1007 

131 

332 

521138 

52  1269 

1400 

1530 

1661 

1792 

1922 

2053 

2183 

2314 

J3l 

333 

2444 

2575 

2705 

2835 

2966 

3096 

3226 

3356 

3486 

3616 

130 

334 

3746 

3876 

4006 

4136 

4266 

4396 

4526 

4656 

4785 

4915 

130 

335 

52  5045 

52  5174 

52  5304 

5  2  5434 

525563 

52  5693 

52  5822 

52  5951 

52  6081 

52  6210 

129 

336 

6339 

6469 

6598 
7888 

6727 

6856 

6985 

7114 

7243 

7372 

V>°1 

129 

337 

7630 

7759 

8016 

8i45 

8274 

8402 

8531 

8660 

8788 

129 

338 

8917 

9045 

9174 

9302 

943o 

9559 

9687 

9815 

9943 

530072 

128 

339 

530200 

530328 

53  0456 

530584 

530712 

53  0840 

530968 

53  1096 

53  1223 

1351 

128 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

340 

53  1479 

53  1607 

53  1734 

53  1S62 

53  1990 

532117 

53  2245 

532372 

53  2500 

53  2627 

128 

341 

2754 

2882 

3009 

3136 

3264 

339i 

35i8 

3645 

3772 

3899 

127 

342 

4026 

4i53 

4280 

4407 

4534 

4661 

4787 

4914 

5041 

5l67 

127 

343 

5294 

542i 

5547 

5674 

5800 

5927 

6053 

6180 

6306 

6432 

126 

344 

6558 

6685 

681 1 

6937 

7063 

7189 

7315 

7441 

7567 

7693 

126 

345 

53  78i9 

53  7945 

538071 

53  8i97 

538322 

538448 

53  8574 

53  8699 

53  8825 

538951 

126 

346 

9076 

9202 

9327 

945  2 

9578 

9703 

9829 

9954 

540079 

54  0204 

I25 

347 

540329 

54  0455 

540580 

540705 

540830 

540955 

54  1080 

541205 

1330 

1454 

!25 

348 

1579 

1704 

1829 

1953 

2078 

2203 

2327 

2452 

2576 

2701 

I25 

349 

2825 

2950 

3074 

3*99 

3323 

3447 

357i 

3696 

3820 

3944 

124 

350 

54  4068 

544192 

5443i6 

544440 

54  4564 
5802 

54  4688 

544812 

54  4936 

54  5060 

54  5^3 

124 

351 

5307 

543i 

5555 

5678 

5925 

6049 

6172 

6296 

6419 

124 

352 

6543 

6666 

6789 

6913 

7036 

.  7159 

7282 

7405 

7529 

7652 

123 

353 

7775 

7898 

8021 

8144 

8267 

8389 

8512 

8635 

8758 

8881 

123 

354 

9003 

9126 

9249 

937i 

9494 

9616 

9739 

9861 

9984 

55  0106 

123 

355 

55  0228 

55  0351 

55  °473 

55  0595 

55  0717 

55  0840 

55  0962 

55  IQ84 

55  I2o6 

55  1328 

122 

356 

1450 

1572 

1694 

1816 

1938 

2060 

2181 

2303 

2425 

2547 

122 

357 

2668 

2790 

291 1 

3033 

3155 

3276 

3398 

35*9 

3640 

3762 

121 

358 

3883 

4004 

4126 

4247 

4368 

4489 

4610 

4731 

4852 

4973 

121 

359 

5094 

5215 

5336 

5457 

5578 

5699 

5820 

5940 

6061 

6182 

121 

360 

55  6303 

55  6423 

55  6544 

55  6664 

55  6785 

55  6905 

55  7026 

55  7H6 

55  7267 

55  7387 

I20 

361 

7507 

7627 

7748 

7868 

7988 

8108 

8228 

8349 

8469 

8589 

I20 

362 

8709 

8829 

8948 

9068 

9188 

9308 

9428 

9548 

9667 

9787 

I20 

363 

9907 

56  0026 

560146 

56  0265 

56  0385 

560504 

560624 

56  0743 

56  0863 

56  0982 

II9 

364 

56  IIOI 

1221 

'340 

1459 

1578 

1698 

1817 

1936 

2055 

2174 

"9 

365 

56  2293 

56  2412 

562531 

56  2650 

56  2769 

562887 

563006 

563125 

56  3244 

S6  3362 

"9 

366 

348i 

3600 

37i8 

3837 

3955 

4074 

4192 

43" 

4429 

4548 

"9 

367 

4666 

4784 

4903 

5021 

5U9 

5257 

5376 

5494 

5612 

5730 

Il8 

368 

5848 

5966 

6084 

6202 

6320 

6437 

6555 

6673 

6791 

6909 

Il8 

369 

7026 

7J44 

7262 

7379 

7497 

7614 

7732 

7849 

7967 

8084 

Il8 

370 

56  8202 

568319 

56  8436 

568554 

568671 

568788 

56  8905 

569023 

569140 

569257 

117 

37i 

9374 

9491 

9608 

9725 

9842 

9959 

57  0076 

570193 

57  0309 

57  0426 

II7 

372 

57°543 

57  0660 

570776 

57  0893 

571010 

571126 

1243 

1359 

1476 

1592 

"7 

373 

1709 

1825 

1942 

2058 

2174 

2291 

2407 

2523 

2639 

2755 

116 

374 

2872 

2988 

3104 

3220 

3336 

3452 

3568 

3684 

3800 

3915 

116 

375 

57  4031 

57  4147 

574263 

57  4379 

57  4494 

574610 

57  4726 

57  4841 

57  4957 

57  5072 

116 

376 

5188 

5303 

54i9 

5534 

5650 

5765 

5880 

5996 

6111 

6226 

"5 

377 

6341 

6457 

6572 

6687 

6802 

6917 

7032 

7H7 

7262 

7377 

"5 

378 

7492 

7607 

7722 

7836 

795 » 

8066 

8181 

8295 

8410 

8525 

"5 

379 

8639 

8754 

8868 

8983 

9097 

9212 

9326 

9441 

9555 

9669 

114 

380 

57  9784 

579898 

580012 

580126 

580241 

580355 

58  0469 

580583 

58  0697 

58  081 1 

"4 

381 

580925 

58  1039 

"53 

1267 

1381 

1495 

1608 

1722 

1836 

1950 

114 

382 

2063 

2177 

2291 

2404 

2518 

2631 

2745 

2858 

2972 

3085 

"4 

383 

3199 

3312 

3426 

3539 

3652 

3765 

3879 

3992 

4105 

4218 

"3 

384 

433i 

/],-]/] /| 

4557 

4670 

4783 

4896 

5009 

5122 

5235 

5348 

"3 

385 

585461 

58  5574 

58  5686 

58  5799 

585912 

586024 

586137 

58  6250 

58  6362 

58  6475 

"3 

386 

6587 

6700 

6812 

6925 

7037 

7H9 

7262 

7374 

7486 

7599 

112 

387 

7711 

7823 

7935 

8047 

8160 

8272 

8384 

8496 

8608 

8720 

112 

388 

8832 

8944 

9056 

9167 

9279 

939i 

9503 

9615 

9726 

9838 

112 

389 

9950 

590061 

590173 

59  0284 

59  0396 

59  0507 

590619 

59  0730 

59  0842 

59  0953 

112 

390 

59  1065 

591176 

591287 

59  1399 

59i5'o 

59  1621 

59  1732 

59  1843 

59  1955 

59  2066 

in 

391 

2177 

2288 

2399 

2510 

2621 

2732 

2843 

2954 

3064 

3175 

in 

392 

3286 

3397 

35o8 

3618 

3729 

3840 

395o 

4061 

4171 

4282 

in 

393 

4393 

4503 

4614 

4724 

4834 

4945 

5055 

5165 

5276 

5386 

no 

394 

5496 

5606 

5717 

5827 

5937 

6047 

6157 

6267 

6377 

6487 

no 

395 

59  6597 

59  6707 

596817 

59  6927 

59  7037 

59  7146 

59  7256 

59  7366 

59  7476 

59  7586 

no 

396 

7695 

7805 

79^4 

8024 

8i34 

8243 

8353 

8462 

8572 

8681 

no 

397 

8791 

8900 

9009 

9119 

9228 

9337 

9446 

9556 

9665 

9774 

109 

398 

9883 

9992 

600101 

600210 

600319 

60  0428 

600537 

600646 

600755 

600864 

109 

399 

600973 

60  1082 

1191 

1299 

1408 

i5J7 

1625 

1734 

1843 

195 1  109 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9   |d. 

LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

400 

60  2060 

60  2169 

60  2277 

60  2386 

60  2494 

60  2603 

60  271 1 

60  2819 

60  2928 

60  3036 

108 

401 

3144 

3253 

3361 

3469 

3577 

3686 

3794 

3902 

4010 

4118 

108 

402 

4226 

4334 

4442 

455° 

4658 

4766 

4874 

4982 

5089 

5J97 

108 

403 

5305 

5413 

552i 

5628 

5736 

5844 

5951 

6059 

6166 

6274 

108 

404 

6381 

6489 

6596 

6704 

681 1 

6919 

7026 

7I33 

7241 

7348 

107 

405 

60  7455 

60  7562 

60  7669 

60  7777 

607884 

60  7991 

60  8098 

60  8205 

608312 

608419 

107 

406 

8526 

8633 

8740 

8847 

8954 

9061 

9167 

9274 

9381 

9488 

107 

407 

9594 

9701 

9808 

9914 

61  0021 

61  0128 

61  0234 

61  0341 

61  0447 

61  0554 

107 

408 

61  0660 

61  0767 

61  0873 

61  0979 

1086 

1192 

1298 

1405 

!5" 

1617 

106 

409 

1723 

1829 

1936 

2042 

2148 

2254 

2360 

2466 

2572 

2678 

106 

410 

61  2784 

61  2890 

61  2996 

61  3102 

61  3207 

61  3313 

61  3419 

61  3525 

61  363° 

61  3736 

106 

411 

3842 

3947 

4053 

4i59 

4264 

437o 

4475 

4581 

4686 

4792 

106 

412 

4897 

5°°3 

5108 

5213 

53i9 

5424 

5529 

5634 

5740 

5845 

105 

413 

595° 

6055 

6160 

6265 

6370 

6476 

6581 

6686 

6790 

6895 

io5 

414 

7000 

7io5 

7210 

73i5 

7420 

7525 

7629 

7734 

7839 

7943 

105 

415 

61  8048 

61  8153 

61  8257 

61  8362 

61  8466 

61  8571 

61  8676 

61  8780 

61  8884 

61  8989 

i°5 

416 

9093 

9198 

■9302 

9406 

9511 

9615 

9719 

9824 

9928 

62  0032 

104 

417 

620136 

62  0240 

620344 

62  0448 

62  0552 

62  0656 

62  0760 

62  0864 

62  0968 

1072 

104 

413 

1176 

1280 

1384 

1488 

1592 

1695 

1799 

1903 

2007 

2110 

104 

419 

2214 

2318 

2421 

2525 

2628 

2732 

2835 

2939 

3042 

3H6 

104 

420 

62  3249 

62  3353 

62  3456 

623559 

62  3663 

62  3766 

62  3869 

62  3973 

624076 

624179 

103 

421 

4282 

4385 

4488 

459i 

4695 

4798 

4901 

5004 

5107 

5210 

103 

422 

5312 

5415 

55i8 

5621 

5724 

5827 

5929 

6032 

6135 

6238 

103 

423 

6340 

6443 

6546 

6648 

6751 

6853 

6956 

7058 

7161 

7263 

103 

424 

7366 

7468 

7571 

7673 

7775 

7878 

7980 

8082 

-  8185 

8287 

102 

425 

62  8389 

628491 

62  8593 

62  8695 

62  8797 

62  8900 

62  9002 

62  9104 

62  9206 

62  9308 

102 

426 

9410 

9512 

9613 

97i5 

9817 

9919 

630021 

630123 

63  0224 

63  0326 

102 

427 

63  0428 

63  0530 

630631 

63  0733 

63  0835 

63  0936 

1038 

"39 

1 241 

1342 

102 

428 
429 

1444 
2457 

1545 
2559 

1647 
2660 

1748 
2761 

1849 

I951 

2052 
3064 

2153 
3165 

2255 
3266 

2356 
3367 

IOI 
IOI 

2S62 

2963 

430 

63  3468 

63  3569 

63  3670 

63  3771 

63  3872 

63  3973 

63  4074 

634175 

63  4276 

63  4376 

IOI 

43i 

4477 

4578 

4679 

4779 

4880 

4981 

5081 

5182 

5283 

5383 

IOI 

432 

5484 

5584 

5685 

5785 

5886 

5986 

6087 

6187 

6287 

6388 

IOO 

433 

6488 

6588 

6688 

6789 

6889 

6989 

70S9 

7189 

7290 

7390 

IOO 

434 

7490 

7590 

7690 

7790 

7890 

7990 

8090 

8190 

8290 

8389 

IOO 

435 

63  8489 

63  8589 

63  8689 

63  8789 

63  8888 

63  8988 

63  9088 

639188 

63  9287 

63  9387 

IOO 

436 

9486 

9586 

9686 

9785 

9885 

9984 

64  0084 

640183 

64  0283 

64  0382 

99 

437 

640481 

640581 

64  0680 

640779 

64  0879 

64  0978 

1077 

1 177 

1276 

1375 

99 

438 

1474 

1573 

1672 

1771 

1871 

1970 

2069 

2168 

2267 

2366 

99 

439 

2465 

2563 

2662 

2761 

2860 

2959 

3058 

3156 

3255 

3354 

99 

440 

64  3453 

64  355 1 

64  3650 

64  3749 

64  3847 

64  J946 

644044 

644143 

64  4242 

64  4340 

98 

441 

4439 

4537 

4636 

4734 

4832 

493i 

5029 

5127 

5226 

5324 

98 

442 

5422 

552i 

56l9 

5717 

5815 

59i3 

601 1 

61 10 

6208 

6306 

98 

443 

6404 

6502 

6600 

6698 

6796 

6894 

6992 

7089 

7187 

7285 

98 

444 

7383 

7481 

7579 

7676 

7774 

7872 

7969 

8067 

8165 

8262 

98 

445 

648360 

64  8458 

64  8555 

64  8653 

64  8750 

64  8848 

64  8945 

64  9043 

649140 

64  9237 

97 

446 

9335 

9432 

9530 

9627 

9724 

9821 

9919 

65  0016 

65  01 13 

65  0210 

97 

447 

65  0308 

65  0405 

65  0502 

65  0599 

65  0696 

65  0793 

65  0890 

0987 

1084 

1181 

97 

448 

1278 

1375 

1472 

1569 

1666 

1762 

1859 

1956 

2053 

2150 

97 

449 

2246 

2343 

2440 

2536 

2633 

2730 

2826 

2923 

3019 

3"6 

97 

450 

65  3213 

65  3309 

65  3405 

65  3502 

65  3598 

65  3695 

65  3791 

65  3888 

65  3984 

65  4080 

96 

45i 

4177 

4273 

4369 

4465 

4562 

4658 

4754 

4850 

4946 

5°42 

96 

452 

5138 

5235 

533i 

5427 

5523 

5619 

5715 

5810 

5906 

6002 

96 

453 

6098 

6194 

6290 

6386 

6482 

6577 

6673 

6769 

6864 

6960 

96 

454 

7056 

7J52 

7247 

7343 

7438 

7534 

7629 

7725 

7820 

7916 

96 

455 

65  801 1 

65  8107 

65  8202 

65  8298 

65  8393 

65  8488 

65  8584 

65  8679 

65  8774 

65  8870 

95 

456 

8965 

9060 

9155 

9250 

9346 

9441 

9536 

9631 

9726 

9821 

95 

457 

9916 

66  001 1 

660106 

660201 

66  0296 

660391 

66  0486 

660581 

66  0676 

660771 

95 

458 

66  0865 

0960 

i°55 

1150 

1245 

1339 

1434 

1529 

1623 

1718 

95 

459 

1813 

1907 

2002 

2096 

2191 

2286 

2380 

2475 

2569 

2663 

95 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

460 

66  2758 

66  2852 

66  2947 

66  3041 

663135 

66  3230 

66  3324 

66  3418 

663512 

66  3607 

94 

461 

3701 

3795 

3889 

3983 

4078 

4172 

4266 

436o 

4454 

4548 

94 

462 

4642 

4736 

4830 

4924 

5018 

5112 

5206 

5299 

5393 

5487 

94 

463 

558i 

5675 

5769 

5862 

5956 

6050 

6i43 

6237 

633i 

6424 

94 

464 

6518 

6612 

6705 

6799 

6892 

6986 

7079 

.7173 

7266 

736o 

94 

465 

66  7453 

66  7546 

66  7640 

66  7733 

66  7826 

66  7920 

66  8013 

66  8106 

66  8199 

66  8293 

93 

466 

8386 

8479 

8572 

8665 

8759 

8852 

8945 

9038 

9i3i 

9224 

93 

467 

9317 

9410 

95°3 

9596 

9689 

9782 

9875 

9967 

67  0060 

670153 

93 

468 

67  0246 

67  0339 

670431 

67  0524 

67  0617 

670710 

67  0S02 

67  0895 

0988 

1080 

93 

469 

"73 

1265 

1358 

145 1 

1543 

1636 

1728 

1821 

1913 

2005 

93 

470 

67  2098 

67  2190 

67  2283 

67  2375 

67  2467 

67  2560 

67  2652 

672744 

67  2836 

67  2929 

92 

471 

3021 

3"3 

3205 

3297 

339o 

3482 

3574 

3666 

3758 

3850 

92 

472 

3942 

4034 

4126 

4218 

43io 

4402 

4494 

4586 

4677 

4769 

92 

473 

4861 

4953 

5°45 

5'37 

5228 

5320 

5412 

55°3 

5595 

5687 

92 

474 

5778 

5870 

5962 

6053 

6145 

6236 

6328 

6419 

651 1 

6602 

92 

475 

67  6694 

67  6785 

67  6876 

67  6968 

67  7059 

677151 

67  7242 

67  7333 

67  7424 

677516 

9i 

476 

7607 

7698 

7789 

7881 

7972 

8063 

8i54 

8245 

8336 

8427 

9i 

477 

8518 

8609 

8700 

8791 

8882 

8973 

9064 

9155 

9246 

9337 

9i 

478 

9428 

95J9 

9610 

9700 

9791 

9882 

9973 

680063 

680154 

68  0245 

9i 

479 

68  0336 

68  0426 

680517 

68  0607 

68  0698 

68  0789 

68  0879 

0970 

1060 

1151 

9i 

480 

68  1 241 

68  1332 

68  1422 

681513 

681603 

68  1693 

681784 

68  1874 

68  1964 

68  2055 

90 

481 

2145 

2235 

2326 

2416 

2506 

2596 

2686 

2777 

2867 

2957 

90 

482 

3047 

3137 

3227 

3317 

3407 

3497 

3587 

3677 

'  3767 

3857 

90 

483 

3947 

4037 

4127 

4217 

4307 

4396 

4486 

4576 

4666 

4756 

90 

484 

4845 

4935 

5°25 

5"4 

5204 

5294 

5383 

5473 

5563 

5652 

90 

485 

68  5742 

685831 

68  5921 

68  6010 

68  6100 

686189 

68  6279 

68  6368 

68  6458 

68  6547 

89 

486 

6636 

6726 

6815 

6904 

6994 

7083 

7172 

7261 

735 J 

7440 

89 

487 

7529 

7618 

7707 

7796 

7886 

7975 

8064 

8i53 

8242 

833i 

89 

488 

8420 

8509 

8598 

8687 

8776 

8865 

8953 

9Q42 

9131 

9220 

89 

489 

9309 

9398 

9486 

9575 

9664 

9753 

9841 

9930 

690019 

690107 

89 

490 

690196 

69  0285 

69  0373 

69  0462 

690550 

69  0639 

69  0728 

690816 

69  0905 

69  0993 

89 

491 

108 1 

1 1 70 

1258 

1347 

1435 

1524 

1612 

1700 

1789 

1877 

88 

492 

1965 

2053 

2142 

2230 

2318 

2406 

2494 

2583 

2671 

2759 

88 

493 

2847 

2935 

3023 

3111 

3199 

3287 

3375 

3463 

3551 

3639 

88 

494 

3727 

3815 

3903 

399i 

4078 

4166 

4254 

4342 

443° 

45r7 

88 

495 

69  4605 

69  4693 

69  4781 

69  4868 

69  4956 

695044 

695^1 

695219 

69  5307 

69  5394 

88 

496 

5482 

5569 

5657 

5744 

5832 

5919 

6007 

6094 

6182 

6269 

87 

497 

6356 

6444 

6531 

6618 

6706 

6793 

6880 

6968 

7°55 

7142 

87 

498 

7229 

7317 

7404 

7491 

7578 

7665 

7752 

7839 

7926 

8014 

87 

499 

8101 

8188 

8275 

8362 

8449 

8535 

8622 

8709 

8796 

8883 

87 

500 

69  8970 

699057 

699144 

69  9231 

699317 

69  9404 

699491  699578 

699664  699751 

S7 

501 

9838 

9924 

70  001 1 

70  0098 

70  01 84 

70  0271 

70  0358 !  70  0444 

700531  700617 

87 

502 

70  0704 

70  0790 

0877 

0963 

1050 

1136 

1222   1309 

1395   1482 

86 

503 

1568 

1654 

1 741 

1827 

1913 

1999 

2086 

2172 

2258   2344 

86 

504 

2431 

25r7 

2603 

2689 

2775 

2861 

2947 

3033 

3"9   3205 

86 

505 

703291 

70  3377 

7°  3463 

7°  3549 

70  3635 

703721 

70  3807 

7°  3893 

70  3979  70  4065 

86 

506 

4151 

4236 

4322 

4408 

4494 

4579 

4665 

475 ! 

4837 [   4922 

86 

507 

5008 

5094 

5'79 

5265 

535° 

5436 

5522 

5607 

5693 

5778 

86 

508 

5864 

5949 

6035 

6120 

6206 

6291 

6376 

6462 

6547 

6632 

85 

509 

6718 

6803 

6888 

6974 

7059 

7144 

7229 

7315 

7400 

7485 

85 

5io 

70  7570 

70  7655 

70  7740 

70  7826 

70  791 1 

70  7996 

70  8081 

708166 

70  8251 

7°  8336 

85 

5" 

8421 

8506 

8591 

8676 

8761 

8846 

8931 

9015 

9100 

9185 

f5 

512 

9270 

9355 

9440 

9524 

9609 

9694 

9779 

9863 

9948 

710033 

85 

513 

710117 

71  0202 

71  0287 

71  0371 

71  0456 

71  0540 

71  0625 

71  0710 

71  0794 

0879 

85 

514 

0963 

1048 

1132 

1217 

1 301 

1385 

1470 

J554 

1639 

1723 

84 

515 

71  1807 

71  1892 

71 1976 

71  2060 

71  2144 

71  2229 

7i  2313 

71  2397 

71  2481 

71  2566 

84 

5i6 

2650 

2734 

2818 

2902 

2986 

3070 

3154 

3238 

3323 

3407 

84 

517 

349i 

3575 

3659 

3742 

3826 

3910 

3994 

4078 

4162 

.  4246 

84 

5i8 

433° 

4414 

4497 

4581 

4665 

4749 

4833 

4916 

5000 

5084 

84 

519 

5167 

5251 

5335 

54i8 

5502 

5586 

5669 

5753 

5836 

5920 

84 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

520 

71  6003 

71  6087 

71  6170 

71  6254 

71  6337 

71  6421 

71  6504 

71  6588 

71  6671 

71  6754 

83 

521 

6838 

6921 

7004 

7088 

7171 

7254 

7338 

7421 

7504 

7587 

83 

522 

"7671 

7754 

7837 

7920 

8003 

8086 

8169 

8253 

8336 

8419 

83 

523 

8502 

8585 

8668 

8751 

8834 

8917 

9000 

9083 

9165 

9248 

83 

524 

933i 

9414 

9497 

9580 

9663 

9745 

9828 

991 1 

9994 

720077 

83 

525 

720159 

720242 

72  0325 

72  0407 

72  0490 

720573 

720655 
148 1 

720738 

720821 

72  0903 

83 

526 

0986 

1068 

"5i 

1233 

1316 

1398 

1563 

1646 

1728 

82 

527 

1811 

1893 

1975 

.2058 

2140 

2222 

2305 

2387 

2469 

2552 

82 

528 

2634 

2716 

2798 

2881 

2963 

3045 

3127 

3209 

3291 

3374 

82 

529 

345  6 

3538 

3620 

3702 

3784 

3866 

3948 

4030 

4112 

4194 

82 

53° 

724276 

72  4358 

724440 

724522 

72  4604 

72  4685 

724767 

72  4849 

72493i 

725OI3 

82 

531 

5°95 

5^6 

5258 

534o 

5422 

5503 

5585 

5667 

5748 

5830 

82 

532 

5912 

5993 

6075 

6156 

62381 

6320 

6401 

6483 

6564 

6646 

82 

533 

6727 

6809 

6890 

6972 

7053 

7134 

7216 

7297 

7379 

746o 

81 

534 

754i 

7623 

7704 

7785 

7866 

7948 

8029 

8110 

8191 

8273 

81 

535 

72  8354 

72  8435 

728516 

72  8597 

72  8678 

728759 

72  8841 

72  8922 

72  9003 

72  9084 

81 

536 

9165 

9246 

9327 

9408 

9489 

9570 

9651 

9732 

9813 

9893 

81 

537 

9974 

73  oo55 

73oi36 

730217 

73  0298 

73  0378 

73  0459 

73  0540 

730621 

73  0702 

Si 

538 

73  07S2 

0863 

0944 

1024 

1 105 

1 186 

1266 

1347 

1428 

1508 

81 

539 

1589 

1669 

175° 

1830 

1911 

1991 

2072 

2152 

2233 

2313 

81 

540 

73  2394 

73  2474 

73  2555 

73  2635 

732715 

73  2796 

73  2876 

73  2956 

73  3037 

733"7 

80 

541 

3197 

3278 

3358 

3438 

35i8 

3598 

3679 

375? 

3839 

3919 

80 

542 

3999 

4079 

4160 

4240 

4320 

4400 

4480 

4560 

4640 

4720 

80 

543 

4800 

4880 

4960 

5040 

5120 

5200 

5279 

5359 

5439 
6237 

5519 

80 

544 

5599 

5679 

5759 

5838 

5918 

5998 

6078 

6157 

6317 

80 

545 

73  6397 

73  6476 

73  6556 

73  6635 

736715 

73  6795 

73  6874 

73  6954 

73  7034 

737"3 

80 

546 

7i93 

7272 

7352 

743i 

75" 

7590 

7670 

7749 

7829 

7908 

79 

547 

7987 

8067 

8146 

8225 

8305 

8384 

8463 

8543 

8622 

8701 

79 

548 

8781 

8860 

8939 

9018 

9097 

9177 

9256 

9335 

9414 

9493 

79 

549 

9572 

9651 

973i 

9810 

9889 

9968 

74  0047 

740126 

74  0205 

74  0284 

79 

550 

740363 

740442 

740521 

74  0600 

74  0678 

740757 

740S36 

74  0915 

74  0994 

74  1073 

79 

55i 

1152 

1230 

1309 

1388 

1467 

1546 

1624 

1703 

1782 

i860 

79 

552 

1939 

2018 

2096 

2175 

2254 

2332 

241 1 

2489 

2568 

2647 

79 

553 

2725 

2804 

2882 

2961 

3039 

3"8 

3196 

3275 

3353 

343 ! 

78 

554 

35JO 

3588 

3667 

3745 

3823 

3902 

3980 

4058 

4136 

4215 

78 

555 

74  4293 

74  4371 

74  4449 

744528 

74  4606 

74  4684 

74  4762 

74  4840 

744919 

74  4997 

78 

556 

5075 

5153 

5231 

5309 

5387 

5465 

5543 

5621 

5699 

5777 

78 

557 

5855 

5933 

601 1 

6089 

6167 

6245 

6323 

6401 

6479 

6556 

78 

558 

6634 

6712 

6790 

6868 

6945 

7023 

7101 

7179 

7256 

7334 

78 

559 

7412 

7489 

7567 

7645 

7722 

7800 

7878 

7955 

8033 

81 10 

78 

560 

748188 

74  8266 

74  8343 

74  8421 

74  8498 

74  8576 

74  8653 

748731 

74  8808 

74  8885 

77 

56i 

8963 

9040 

9118 

9195 

9272 

935° 

9427 

9504 

9582 

9659 

77 

562 

9736 

9814 

9891 

9968 

75O045 

750123 

75  0200 

750277 

75  0354 

75  0431 

77 

563 

75  °5°8 

75  0586 

75  0663 

75  0740 

0817 

0894 

0971 

1048 

1125 

1202 

77 

564 

1279 

I356 

H33 

1510 

1587 

1664 

1 741 

1818 

1895 

1972 

77 

565 

75  2048 

75  2125 

75  2202 

75  2279 

75  2356 

75  2433 

75  2509 

75  2586 

75  2663 

75  2740 

77 

566 

2816 

2893 

2970 

3047 

3123 

3200 

3277 

3353 

343o 

3506 

77 

567 

3583 

3660 

3736 

3813 

3889 

3966 

4042 

4119 

4i95 

4272 

77 

568 

4348 

4425 

4501 

4578 

4654 

473o 

4807 

4883 

4960 

5036 

76 

569 

5112 

5189 

5265 

534i 

5417 

5494 

557o 

5646 

5722 

5799 

76 

570 

75  5f75 

75  5951 

75  6027 

75  6103 

756180 

75  6256 

75  6332 

75  6408 

75  6484 

75  6560 

76 

571 

6636 

6712 

6788 

6864 

6940 

7016 

7092 

7168 

7244 

7320 

76 

572 

7396 

7472 

7548 

7624 

7700 

7775 

7851 

7927 

8003 

8079 

76 

573 

8155 

8230 

8306 

8382 

8458 

8533 

8609 

8685 

8761 

8836 

76 

574 

8912 

8988 

9063 

9i39 

9214 

9290 

9366 

9441 

95r7 

9592 

76 

575 

75  9668 

75  9743 

759819 

75  9894 

75  9970 

76  0045 

760121 

760196 

760272 

760347 

75 

576 

76  0422 

76  0498 

760573  760649 

76  0724 

0799 

0875 

0950 

1025 

IIOI 

75 

577 

1 1 76 

1251 

1326 

1402 

*477 

1552 

1627 

1702 

1778 

1853 

75 

578 

1928 

2003 

2078 

2153 

2228 

2303 

2378 

2453 

2529 

2604 

75 

579 

2679 

2754 

2829 

2904 

2978 

3053 

3128 

3203 

3278 

3353 

75 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

10 


LOGARITHMS   OF  NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6     7    8 

9 

D. 

75 

580 

76  3428 

76  35°3 

763578 

76  3653 

763727 

76  3802 

763877 176  3952 1764027 

764101 

581 

4176 

4251 

4326 

4400 

4475 

4550 

4624 !   4699 

4774 

4848 

75 

582 

4923 

4998 

5°72 

5*47 

5221 

5296 

5370 

5445 

5520 

5594 

75 

583 

5669 

,   5743 

5818 

5892 

5966 

6041 

6115 

6190 

6264 

6338 

74 

584 

6413 

6487 

6562 

6636 

6710 

6785 

6859 

6933 

7007 

7082 

74 

585 

767156 

76  7230 

76  7304  j  76  7379 

76  7453 

76  7527 

76  7601 

76  7675  j  76  7749 

76  7823 

74 

586 

7898 

7972 

8046 

8120   8194 

8268 

8342 

8416   8490 

8564 

74 

587 

8638 

8712 

8786 

8860 

8934 

9008 

9082 

9156   9230 

9303 

74 

588 

9377 

945  > 

9525 

9599 

9673 

9746 

9820 

9894   9968 

770042 

74 

589 

770115 

770189 

77  0263 

77  0336 

770410 

77  0484 

77  0557 

77  0631  1770705 

0778 

74 

590 

770852 

770926 

77  °999 

77  io73 

77  "46 

77  1220 

77  I293 

77  '367 

77  1440 

77I5M 

74 

591 

1587 

1 661 

1734 

1808 

1881 

!955 

2028 

2102 

2175 

2248 

73 

592 

2322 

2395 

246S 

2542 

2615 

2688 

2762 

2835 

2908 

2981 

73 

593 

3055 

3128 

3201 

3274 

3348 

342i 

3494 

3567 

3640 

3713 

73 

594 

3786 

3860 

3933 

4006 

4079 

4152 

4225 

4298 

437i 

/1/H'1 

73 

595 

77  4517 

77  459o 

77  4663 

77  4736 

77  4809 

77  4882 

77  4955 

77  5028 

775100 

77  5J73 

73 

596 

5246 

53i9 

5392 

5465 

5538 

5610 

5683 

5756 

5829 

5902 

73 

597 

5974 

6047 

6120 

6193 

6265 

6338 

641 1 

6483 

6556 

6629 

73 

598 

6701 

6774 

6846 

6919 

6992 

7064 

7137 

7209 

7282 

7354 

73 

599 

7427 

7499 

7572 

7644 

7717 

7789 

7862   7934 

8006 

8079 

72 

600 

778151 

77  8224 

77  8296 

77  8368 

77  8441 

778513 

77  8585 

77  8658 

77  8730 

77  8802 

72 

601 

8874 

8947 

9019 

9091 

9163 

9236 

9308 

9380 

9452 

9524 

72 

602 

9596 

9669 

974i 

9813 

9885 

9957 

78  0029 

780101 

780173 

78  0245 

72 

603 

780317 

78  0389 

780461 

780533 

78  0605 

78  0677 

0749 

0821 

0893 

0965 

72 

604 

1037 

1 109 

1 181 

1253 

1324 

1396 

1468 

1540 

1612 

1684 

72 

605 

78  1755 

78  1827 

78  1899 

78  1971 

78  2042 

78  2114 

782186 

782258 

78  2329 

78  2401 

72 

606 

2473 

2544 

2616 

2688 

2759 

2831 

2902 

2974 

3046 

3"7 

72 

607 

3189 

3260 

3332 

3403 

3475 

3546 

3618 

3689 

376i 

3832 

7i 

608 

3904 

3975 

4046 

4118 

4189 

4261 

4332 

4403 

4475 

4546 

7i 

609 

4617 

4689 

4760 

4831 

4902 

4974 

5045 

5116J   5187 

5259 

71 

610 

78  533° 

78  5401 

78  5472 

78  5543 

785615 

78  5686 

78  5757 

785828  785899 

78  5970 

7i 

611 

6041 

6112 

6183 

6254 

6325 

6396 

6467 

6538 

6609 

6680 

7i 

612 

6751 

6822' 

6893 

6964 

7035 

7106 

7i77 

7248 

7319 

7390 

7i 

613 

7460 

753i 

7602 

7673 

7744 

7815 

7885 

7956 

8027 

8098 

7i 

614 

8168 

8239 

8310 

8381 

8451 

8522 

8593 

8663 

8734 

8804 

7i 

615 

78  8875 

78  8946 

789016 

78  9087 

78  9157 

789228 

78  9299 

78  9369 

78  9440 

789510 

7i 

616 

958i 

9651 

9722 

9792 

9863 

9933 

79  0004 

79  0074 

79  0144 

790215 

7° 

617 

79  0285 

79  0356 

79  0426 

79  °496 

79  0567 

79  0637 

0707 

0778 

0848 

0918 

70 

618 

0988 

1059 

1 129 

1 199 

1269 

1340 

1410 

1480 

1550 

1620 

70 

619 

1691 

1761 

1831 

1901 

1971 

2041 

2111 

2181 

2252 

2322 

70 

620 

79  2392 

79  2462 

79  2532 

79  2602 

79  2672 

79  2742 

792812 

79  2882 

79  2952 

79  3022 

70 

621 

3092 

3162 

3231 

330i 

337i 

344i 

35" 

358i 

3651 

372i 

70 

622 

3790 

3860 

3930 

4000 

4070 

4139 

4209 

4279 

4349 

44i8 

70 

623 

4488 

4558 

4627 

4697 

4767 

4836 

4906 

4976 

5045 

5"5 

70 

624 

5185 

5254 

5324 

5393 

5463 

5532 

5602 

5672 

5741 

5811 

70 

625 

79  5880 

79  5949 

79  6019 

79  6088 

796158 

79  6227 

79  6297 

79  6366 

79  6436 

79  6505 

69 

626 

6574 

6644 

6713 

6782 

6852 

6921 

6990 

7060 

7129 

7198 

69 

627 

7268 

7337 

7406 

7475 

7545 

7614 

7683 

7752 

7S21 

7890 

69 

628 

7960 

8029 

8098 

8167 

8236 

8305 

8374 

8443 

8513 

8582 

69 

629 

8651 

8720 

8789 

8858 

8927 

8996 

9065 

9i34 

9203 

9272 

69 

630 

79  9341 

79  9409 

79  9478 

79  9547 

799616 

79  9685 

79  9754 

79  9823 

79  9892 

79  996i 

69 

631 

800029 

800098 

800167 

80  0236 

80  0305 

80  0373 

80  0442 

80  05 1 1 

80  05  So 

80  0648 

69 

632 

0717 

0786 

0854 

0923 

0992 

1061 

1 1 29 

1 198 

1266 

1335 

69 

633 

1404 

1472 

1541 

1609 

1678 

1747 

1815 

1884 

1952 

2021 

69 

634 

2089 

2.58 

2226 

2295 

2363 

2432 

2500 

2568 

2637 

2705 

68 

635 

802774 

80  2842 

80  2910 

80  2979 

80  3047 

80  31 16 

803184 

80  3252 

803321 

80  3389 

68 

636 

3457 

3525 

3594 

3662 

373o 

3798 

3867 

3935 

4003 

4071 

68 

637 

4139 

4208 

4276 

4344 

4412 

4480 

4548 

4616 

4685 

4753 

68 

638 

4821 

4889 

4957 

5°25 

5°93 

5161 

5229 

5297 

5365 

5433 

68 

639 

5501 

5569 

5637 

5705 

5773 

5841 

59o8 

5976 

6044 

6112 

68 

N. 
1 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

LOGARITHMS   OF   NUMBERS. 


11 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

640 

8c  6180 

80  6248 

806316 

80  6384 

80  645 1 

So  6519 

80  6587 

80  6655 

80  6723 

806790 

68 

641 

6858 

6926 

6994 

7061 

7129 

7197 

7264 

7332 

7400 

7467 

68 

642 

7535 

7603 

7670 

7738 

7806 

7873 

7941 

8008 

8076 

8143 

68 

643 

821 1 

8279 

8346 

8414 

8481 

8549 

8616 

8684 

8751 

8818 

67 

644 

8886 

8953 

9021 

9088 

9i56 

9223 

9290 

9358 

9425 

9492 

67 

645 

80  9560 

80  9627 

80  9694 

80  9762 

80  9829 

80  9896 

80  9964 

81 0031 

81  0098 

81  0165 

67 

646 

81  0233 

81  0300 

81  0367 

81  0434 

81  0501 

81  0569 

81  0636 

0703 

07^0 

0837 

67 

647 

0904 

0971 

1039 

1 106 

"73 

1240 

1307 

1374 

1441 

1508 

67 

648 

1575 

1642 

1709 

1776 

1843 

1910 

1977 

2044 

2111 

2178 

67 

649 

2245 

2312 

2379 

2445 

2512 

2579 

2646 

2713 

2780 

2847 

67 

650 

81 2913 

81  29S0 

81  3047 

813114 

81  3181 

81  3247 

81  3314 

81  3381 

81  3448 

8i35'4 

67 

651 

3581 

3648 

37*4 

3781 

3848 

39H 

398i 

4048 

4114 

4181 

67 

652 

4248 

43H 

438i 

4447 

45H 

4581 

4647 

47x4 

4780 

4847 

67 

653 

4913 

4980 

5046 

5"3 

5J79 

5246 

5312 

5378 

5445 

55" 

66 

654 

5578 

5644 

57" 

5777 

5843 

5910 

5976 

6042 

6109 

6i75 

66 

655 

81  6241 

81  6308 

81  6374 

81  6440 

81  6506 

81  6573 

81  6639 

81  6705 

81  6771 

81  6838 

66 

656 

6904 

6970 

7036 

7102 

7169 

7235 

73oi 

7367 

7433 

7499 

66 

657 

7565 

7631 

7698 

7764 

7830 

7896 

7962 

8028 

8094 

8160 

66 

658 

8226 

8292 

8358 

8424 

8490 

8556 

8622 

8688 

8754 

8820 

66 

659 

8885 

8951 

9017 

9083 

9149 

9215 

9281 

9346 

9412 

9478 

66 

660 

819544 

81  9610 

81  9676 

81  9741 

81  9807 

81  9873 

81  9939 

82  0004 

82  0070 

820136 

66 

661 

S2020I 

820267 

82  0333 

82  0399 

82  0464 

82  0530 

82  0595 

0661 

0727 

0792 

66 

662 

0858 

0924 

0989 

io55 

1 1 20 

1 186 

1251 

1317 

1382 

1448 

66 

663 

15*4 

1579 

1645 

1710 

1775 

1841 

1906 

1972 

2037 

2103 

65 

664 

2168 

2233 

2299 

2364 

2430 

2495 

2560 

2626 

2691 

2756 

65 

665 

82  2822 

82  2887 

82  2952 

823018 

82  3083 

823148 

823213 

823279  823344 

82  3409 

65 

666 

3474 

3539 

3605 

3670 

3735 

3800 

3865 

-  393°   3996 

4061 

65 

667 

4126 

4191 

4256 

4321 

4386 

445 l 

45l6 

4581  1   4646 

47" 

65 

668 

4776 

4841 

4906 

497 » 

5036 

5101 

5166 

5231    5296 

536i 

65 

669 

5426 

549i 

5556 

5621 

5686 

575i 

5815 

5880 

5945 

6010 

65 

670 

S2  6075 

82  6140 

82  6204 

82  6269 

82  6334 

82  6399 

82  6464 

82  6528 

82  6593 

82  6658 

65 

671 

6723 

6787 

6852 

6917 

6981 

7046 

7111 

7175 

7240 

7305 

65 

672 

7369 

7434 

7499 

7563 

7628 

7692 

7757 

7821 

7886 

795 1 

65 

673 

8015 

8080 

8144 

8209 

8273 

8338 

8402 

8467 

8531 

8595 

64 

674 

8660 

8724 

8789 

8853 

8918 

8982 

9046 

9111 

9175 

9239 

64 

675 

82  9304 

82  9368 

82  9432 

82  9497 

829561 

82  9625 

82  9690 

82  9754 

829818 

82  9882 

64 

676 

9947 

83  001 1 

83  0075 

830139 

83  0204 

83  0268 

83  0332 

83  0396 

83  0460 

830525 

64 

677 

83  0589 

0653 

0717 

0781 

0845 

0909 

0973 

1037 

1 102 

1 166 

64 

678 

1230 

1294 

1358 

1422 

i486 

i55o 

1614 

1678 

1742 

1806 

64 

679 

1870 

1934 

1998 

2062 

2126 

2189 

2253 

2317 

2381 

2445 

64 

680 

83  2509 

832573 

83  2637 

83  2700 

83  2764 

83  2828 

83  2892 

83  2956 

83  3020 

83  3083 

64 

681 

3H7 

321 1 

3275 

3338 

3402 

3466 

353o 

3593 

3657 

372i 

64 

682 

3784 

3848 

3912 

3975 

4039 

4103 

4166 

4230 

4294 

4357 

64 

683 

4421 

4484 

4548 

461 1 

4675 

4739 

4802 

4866 

4929 

4993 

64 

684 

5056 

5120 

5183 

5247 

53io 

5373 

5437 

55°° 

5564 

5627 

63 

685 

83  5691 

83  5754 

835817 

835881 

83  5944 

83  6007 

83  6071 

836134 

836197 

83  6261 

63 

686 

6324 

6387 

645  J 

6514 

6577 

6641 

6704 

6767 

6830 

6894 

63 

687 

6957 

7020 

7083 

7146 

7210 

7273 

7336 

7399 

7462 

7525 

63 

688 

7588 

7652 

7715 

7778 

7841 

7904 

7967 

8030 

8093 

8156 

63 

689 

8219 

8282 

8345 

8408 

8471 

8534 

8597 

8660 

8723 

8786 

63 

690 

S3  8849 

838912 

83  8975 

83  9038 

839101 

83  9164 

83  9227 

83  9289 

83  9352 

83  9415 

63 

691 

9478 

954i 

9604 

9667 

9729 

9792 

9855 

9918 

9981 

840043 

63 

692 

S4  0106 

840169 

84  0232 

84  0294 

840357 

84  0420 

84  0482 

84  0545 

84  0608 

0671 

63 

693 

0733 

0796 

0859 

0921 

0984 

1046 

1 109 

1172 

1234 

1297 

63 

694 

1359 

1422 

1485 

!547 

1610 

1672 

1735 

1797 

i860 

1922 

63 

695 

84  1985 

84  2047 

84  21 IO 

842172 

84  2235 

84  2297 

84  2360 

84  2422 

84  2484 

84  2547 

62 

696 

2609 

2672 

2734 

2796 

2859 

2921 

2983 

3046 

3108 

3170 

62 

697 

3233 

3295 

3357 

3420 

3482 

3544 

3606 

3669 

373i 

3793 

62 

698 

3855 

39i8 

398o 

4042 

4104 

4166 

4229 

4291 

4353 

4415 

62 

699 

4477 

4539 

4601 

4664 

4726 

4788 

4850 

4912 

4974 

5036 

62 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

12 


LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

700 

84  5098 

845160 

84  5222 

84  5284 

84  5346 

84  5408 

84  547° 

845532 

84  5594 

84  5656 

"oT 

701 

57i8 

5780 

5842 

5904 

5966 

6028 

6090 

6151 

6213 

6275 

62 

702 

6337 

6399 

6461 

6523 

6585 

6646 

6708 

6770 

6832 

6894 

62 

703 

6955 

7017 

7079 

7141 

7202 

7264 

7326 

7388 

7449 

75" 

62 

704 

7573 

7634 

7696 

7758 j   7819 

7881 

7943 

8004 

8066 

8128 

62 

705 

848189 

848251 

848312 

84  8374 !  84  8435 

84  8497 

848559 

84  8620 

84  8682 

84  8743 

62 

706 

8805 

8866 

8928 

8989   9051 

9112 

9174 

9235 

9297 

9358 

61 

707 

9419 

9481 

9542 

9604   9665 

9726 

9788 

9849 

991 1 

9972 

61 

708 

85  0033 

850095 

850156 

850217,850279 

85  0340 

85  0401 

85  0462 

85  0524 

850585 

61 

709 

0646 

0707 

0769   0830 

0891 

0952 

1014 

1075 

1136 

1 197 

61 

710 

85  1258 

85  1320 

85  1381 

851442 

85  1503 

85  1564 

85  1625 

85 1686 

85  1747 

85  1809 

61 

711 

1870 

I93i 

1992 

2053 

2114 

2175 

2236 

2297 

2358 

2419 

61 

712 

2480 

2541 

2602 

2663 

2724 

2785 

2846 

2907 

2968 

3029 

61 

713 

3090 

3i50 

321 1 

3272 

3333 

3394 

3455 

3516 

3577 

3637 

61 

7M 

3698 

3759 

3820 

3881 

394i 

4002 

4063 

4124 

4185 

4245 

61 

715 

85  4306 

85  4367 

854428 

854488 

85  4549 

85  4610 

85  4670 

85  4731 

85  4792 

85  4852 

61 

716 

4913 

4974 

5°34 

5°95 

5216 

5277 

5337 

5398 

5459 

61 

717 

55!9 

558o 

5640 

5701 

576i 

5822 

5882 

5943 

6003 

6064 

61 

718 

6124 

6185 

6245 

6306 

6366 

6427 

6487 

6548 

6608 

666S 

60 

719 

6729 

6789 

6850 

6910 

6970 

7031 

7091 

7152 

7212 

7272 

60 

720 

85  7332 

85  7393 

85  74531  857513 

85  7574 

85  7634 

85  7694 

85  7755 

85  78i5 

85  7875 

60 

721 

7935 

7995 

8056   81 16 

8176 

8236 

8297 

8357 

8417 

8477 

60 

722 

8537 

8597 

8657   8718 

8778 

8838 

8898 

8958 

9018 

-907S 

60 

723 

9138 

9198 

9258,   9318 

9379 

9439 

9499 

9559 

9619 

9679 

60 

724 

9739 

9799 

98591   99i8 

9978 

86  0038 

860098 

860158 

860218 

860278 

60 

725 

86  0338 

86  0398 

860458  860518 

860578 

86  0637 

86  0697 

860757 

860817 

860877 

60 

726 

0937 

0996 

1056 

1116   1176 

1236 

1295 

J355 

1415 

H75 

60 

727 

1534 

1594 

1654 

17*4   1773 

1833 

1893 

1952 

2012 

2072 

60 

728 

2131 

2191 

2251 

2310 1   2370 

2430 

2489 

2549 

2608 

2668 

60 

729 

2728 

2787 

2847 

2906   2966 

3025 

3085 

3144 

3204 

3263 

60 

730 

8633231863382 

863442 

863501  863561 

86  3620 

863680 

86  3739 

86  3799 

86  385S 

59 

731 

3917 1   3977 

4036 

4096,   4155 

4214 

4274 

4333 

4392 

4452 

59 

732 

451 1 

457° 

4630 

4689   4748 

4808 

4867 

4926 

4985 

5°45 

59 

733 

5104 

5l63 

5222 

5282   5341 

5400 

5459 

5519 

5578 

5637 

59 

734 

5696 

5755   5814 

5874   5933 

5992 

6051 

6110 

6169 

6228 

59 

735 

86  6287 

866346  866405 

86  6465  .  86  6524 

866583  866642 

866701  866760 

866819 

59 

736 

6878 

6937 

6996 

7055   71 14 

7173 

7232 

7291 

735° 

7409 

59 

737 

7467 

7526 

7585 

7644   77°3 
8233   8292 

7762 

7821 

7880 

7939 

7998 

59 

738 

8056 

8115 

8174 

8350 

8409 

8468 

8527 

8586 

59 

739 

8644 

8703 

8762 

8821   8879 

8938 

8997 

9056 

9114 

9173 

59 

740 

86  9232 

86  9290  86  9349 

86  9408  (  86  9466 

869525 

86  9584 

86  9642 

86  9701 

86  9760 

59 

74i 

9818 

9877   9935 

9994  870053 

87  01 1 1 

870170 

87  0228 

87  0287 

87  0345 

59 

742 

87  0404 

870462  870521 

870579 

0638 

0696 

0755 

0813 

0872 

0930 

58 

743 

0989 

1047   1 106 

1 164 

1223 

1281 

1339 

1398 

1456 

1515 

58 

744 

1573 

1631    1690 

1748 

1806 

1865 

1923 

1981 

2040 

2098 

58 

745 

872156 

87  2215 

87  2273 

872331 

87  2389 

872448 

87  2506  87  2564 

87  2622 

87  2681 

58 

746 

2739 

2797 

2855 

2913 

2972 

3030 

3088 

3H6 

3204 

3262 

5f 

747 

332i 

3379 

3437 

3495 

3553 

361 1 

3669 

3727 

3785 

3844 

58 

748 

3902 

3960 

4018 

4076 

4134 

4192 

4250 

4308 

4366 

4424 

58 

749 

4482 

4540 

4598 

4656 

47H 

4772 

4830 

4888 

4945 

5003 

58 

750 

87  5061 

875119 

87  5177 

87  5235 

87  5293 

87  5351 

87  5409 

87  5466 

87  5524 

875582 

58 

751 

5640 

5698 

5756 

5813 

5929 

5987 

6045 

6102 

6160 

58o 

752 

6218 

6276 

6333 

6391 

6449 

6507 

6564 

6622   6680 

6737 

5$o 

753 

6795 

6853 

6910 

6968 

7026 

7083 

7141 

71991   7256 

7314 

58> 

754 

7371 

7429 

7487 

7544 

7602 

7659 

7717 

7774!   7832 

7889 

58 

755 

S7  7947 

878004 

87  8062 

878119 

878177 

87  8234 

87  8292 

87  8349 

87  8407  1  87  8464 

57 

756 

8522 

8579 

8637 

8694 

8752 

8809 

8866 

8924 

8981 

9039 

57 

757 

9096 

9153 

921 1 

9268 

9325 

9383 

9440 

9497 

9555 

9612 

57 

758 

9669 

9726 

9784 

9841 

9898 

9956 

880013 

880070 

880127 

880185 

57 

759 

88  0242 

88  0299 

880356 

880413 

880471 

88  0528 

0585 

0642 

0699 

0756 

57 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D.j 

LOGARITHMS   OF   NUMBERS. 


18 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

760 

880814 

880871 

88  0928 

88  0985 

88  1042 

88  1099 

881156 

881213 

881271 

88  1328 

57 

761 

1385 

1442 

1499 

1556 

1613 

1670 

1727 

1784 

1841 

1898 

57 

762 

1955 

2012 

2069 

2126 

2183 

2240 

2297 

2354 

241 1 

2468 

57 

763 

2525 

2581 

2638 

2695 

2752 

2809 

2866 

2923 

2980 

3037 

57 

764 

3°93 

315° 

3207 

3264 

3321 

3377 

3434 

349i 

3548 

3605 

57 

765 

88  3661 

883718 

88  3775 

88  3832 

88  3888 

88  3945 

88  4002 

88  4059 

884115 

884172 

57 

766 

4229 

4285 

4342 

4399 

4455 

45" 

4569 

4625 

4682 

4739 

57 

767 

4795 

4852 

4909 

4965 

5022 

5078 

5X35 

5'92 

5248 

5305 

57 

768 

536i 

5418 

5474 

5531 

5587 

5644 

5700 

5757 

5813 

5870 

57 

769 

5926 

5983 

6039 

6096 

6152 

6209 

6265 

6321 

6378 

6434 

56 

770 

88  6491 

88  6547 

88  6604 

88  6660 

886716 

88  6773 

88  6829 

88  6885 

88  6942 

88  6998 

56 

771 

7°S4 

7111 

7167 

7223 

7280 

7336 

7392 

7449 

7505 

7561 

56 

772 

7617 

7674 

773° 

7786 

7842 

7898 

7955 

801 1 

8067 

8123 

56 

773 

8179 

8236 

8292 

8348 

8404 

8460 

8516 

8573 

8629 

8685 

56 

774 

8741 

8797 

8853 

8909 

8965 

9021 

9077 

9134 

9190 

9246 

56 

775 

88  9302 

88  9358 

88  9414 

88  9470 

889526 

88  9582 

88  9638 

88  9694 

88  9750 

88  9806 

56 

776 

9862 

9918 

9974 

89  0030 

89  0086 

890141 

890197 

890253 

89  0309 

89  0365 

56 

777 

S90421 

89  0477 

89  0533 

0589 

0645 

0700 

0756 

0812 

0868 

0924 

56 

778 

0980 

1035 

109 1 

1 147 

1203 

1259 

1314 

1370 

1426 

1482 

56 

779 

!537 

1593 

1649 

1705 

1760 

1816 

1872 

1928 

1983 

2039 

56 

780 

89  2095 

89  2150 

89  2206 

89  2262 

892317 

89  2373 

89  2429 

89  2484 

89  2540 

89  2595 

^ 

781 

2651 

2707 

2762 

2818 

2873 

2929 

2985 

3040 

3096 

3151 

56 

782 

3207 

3262 

33i8 

3373 

3429 

3484 

354o 

3595 

3651 

3706 

56 

783 

3762 

3817 

3873 

3928 

3984 

4039 

4094 

4150 

4205 

4261 

55 

784 

43i6 

4371 

4427 

4482 

4538 

4593 

4648 

4704 

4759 

4814 

55 

785 

89  4870 

89  4925 

89  4980 

89  5036 

895091 

895146 

89  5201 

89  5257 

895312 

89  5367 

55 

786 

5423 

5478 

5533 

5588 

5644 

5699 

5754 

5809 

5864 

5920 

55 

787 

5975 

6030 

6085 

6140 

6195 

6251 

6306 

6361 

6416 

6471 

55 

788 

6526 

6581 

6636 

6692 

6747 

6802 

6857 

6912 

6967 

7022 

55 

789 

7077 

7»32 

7187 

7242 

7297 

7352 

7407 

7462 

75x7 

7572 

55 

790 

89  7627 

89  7682 

89  7737 

89  7792 

89  7S47 

89  7902 

89  7957 

898012 

89  8067 

898122 

55 

791 

8176 

8231 

8286 

8341 

8396 

845 1   8506 

8561 

8615 

8670 

55 

792 

8725 

8780 

8835 

8890 

8944 

8999 

9054 

9109 

9164 

9218 

55 

793 

9273 

9328 

9383 

9437 

9492 

9547 

9602 

9656 

9711 

9766 

55 

794 

9821 

9875 

9930 

9985 

90  0039 

90  0094 

900149 

90  0203 

90  0258 

900312 

55 

795 

90  0367 

90  0422 

90  0476 

900531 

90  0586 

90  0640 

90  0695 

90  0749 

90  0804 

90  0859 

55 

796 

0913 

0968 

1022 

1077 

1131 

1 186 

1240 

1295 

1349 

1404 

55 

797 

1458 

1513 

1567 

1622 

1676 

i73i 

1785 

1840 

1894 

1948 

54 

798 

2003 

2057 

2112 

2166 

2221 

2275 

2329 

2384 

2438 

2492 

54 

799 

2547 

2601 

2655 

2710 

2764 

2818 

2873 

2927 

2981 

3036 

54 

800 

90  3090 

903144 

903199 

9°  3253 

90  3307 

90  3361 

90  34i6 

90  347o 

90  3524 

90  3578 

54 

801 

3633 

3687 

374i 

3795 

3849 

3904 

3958 

4012 

4066 

4120 

54 

802 

4174 

4229 

4283 

4337 

4391 

4445 

4499 

4553 

4607 

4661 

54 

803 

4716 

4770 

4824 

4878 

4932 

4986 

5040 

5094 

5148 

5202 

54 

804 

5256 

53io 

5364 

54i8 

5472 

5526 

558o 

5634 

5688 

5742 

54 

805 

905796 

90  5850 

90  5904 

90  5958 

90  60I2 

90  6066 

90  61 19 

906173 

90  6227 

906281 

54 

806 

6335 

6389 

6443 

6497 

6551 

6604 

6658 

6712 

6766 

6820 

54 

807 

6874 

6927 

6981 

7035 

7089 

7*43 

7196 

7250 

7304 

7358 

54 

808 

741 1 

7465 

75J9 

7573 

7626 

7680 

7734 

7787 

7841 

7895 

54 

809 

7949 

8002 

8056 

8110 

8163 

8217 

8270 

8324 

8378 

8431 

54 

810 

90  8485 

90  8539 

90  8592 

90  8646 

90  8699 

908753 

90  8807 

908860 

908914 

90  8967 

54 

811 

9021 

9074 

9128 

9181 

9235 

9289 

9342 

9396 

9449 

9503 

54 

812 

9556 

9610 

9663 

9716 

9770 

9823 

9877 

993o 

9984 

910037 

53 

813 

91  0091 

91  0144 

91  0197 

91  0251 

91  O3O4 

91  0358 

91  041 1 

91  0464 

91  0518 

0571 

53 

814 

0624 

0678 

0731 

0784 

0838 

0891 

0944 

0998 

105 1 

1 104 

53 

815 

91  1158 

91  1211 

91  1264 

9i  1317 

91  I371 

91  1424 

91  1477 

91  1530 

91  1584 

91  1637 

53 

816 

1690 

1743 

1797 

1850 

I9O3 

1956 

2009 

2063 

21 16 

2169 

53 

817 

2222 

"75 

2328 

2381 

2435 

2488 

2541 

2594 

2647 

2700 

53 

818 

2753 
3284 

2806 

2859 

2913 

2966 

3019 

3072 

3'25 

3178 

3231 

53 

819 

3337 

339o 

3443 

3496 

3549 

3602 

3655 

37o8 

376i 

53 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

14 


LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

820 

91  3814 

91 3867- 

91  3920 

9i  3973 

91  4026 

91  4079 

91  4132 

91  4184 

91  4237 

91  4290 

53 

821 

4343 

4396 

4449 

4502 

4555 
5083 

4608 

4660 

47J3 

4766 

4819 

53 

822 

4872 

4925 

4977 

5030 

5J36 

5189 

5241 

5294 

5347 

53 

823 

5400 

5453 

55°5 

5558 

5611 

5664 

57i6 

5769 

5822 

5875 

53 

824 

5927 

598o 

6033 

6085 

613S 

6191 

6243 

6296 

6349 

6401 

53 

825 

91  6454 

91  6507 

9i  6559 

91  6612 

91  6664 

91  6717 

91  6770 

91  6822 

91  6875 

91  6927 

53 

826 

6980 

7033 

7085 

7138 

7190 

7243 

7295 

7348 

7400 

7453 

53 

827 

7506 

7558 

8083 

761 1 

7663 

7716 

7768 

7820 

7873 

7925 

7978 

52 

828 

8030 

8i35 

8188 

8240 

8293 

8345 

8397 

8450 

8502 

52 

829 

8555 

8607 

8659 

8712 

8764 

8816 

8869 

8921 

8973 

9026 

52 

830 

91  9078 

91  9130 

91  9183 

91  9235 

91  9287 

91  9340 

91  9392 

919444 

91  9496 

9i  9549 

52 

831 

9601 

9653 

9706 

9758 

9810 

9862 

9914 

9967 

920019 

920071 

52 

832 

920123 

920176 

92  0228 

92  0280 

92  0332 

92  0384 

92  0436 

92  0489 

0541 

0593 

52 

833 

0645 

0697 

0749 

0801 

0853 

0906 

0958 

1010   1062 

1114 

52 

834 

1166 

1218 

1270 

1322 

1374 

1426 

1478 

I530 

1582 

1634 

52 

835 

92 1686 

921738 

92  1790 

92  1842 

92  1894 

92  1946 

92  1998 

92  2050 

92  2102 

922154 

52 

836 

2206 

2258 

2310 

2362 

2414 

2466 

2518 

2570 

2622 

2674 

52 

837 

2725 

2777 

2829 

2881 

2933 

2985 

3037 

3089 

3140 

3192 

52 

838 

3244 

3296 

3348 

3399 

345  * 

35°3 

3555 

3607 

3658 

37io 

52 

839 

3762 

3814 

3865 

3917 

3969 

4021 

4072 

4124 

4176 

4228 

52 

840 

924279 

92  4331 

92  4383 

92  4434 

924486 

92  4538 

92  4589 

92  4641 

92  4693 

92  4744 

52 

841 

4796 

4848 

4899 

495 1 

5°°3 

5°54 

5106 

5'57 

5209 

5261 

52 

842 

5312 

5364 

5415 

5467 

55i8 

5570 

5621 

5673 

5725 

5776 

52 

843 

5828 

5879 

593i 

5982 

6034 

6085 

6137 

6188 

6240 

6291 

51 

844 

6342 

6394 

6445 

6497 

6548 

6600 

6651 

6702 

6754 

6805 

5i 

845 

92  6857 

92  6908 

92  6959 

92  701 1 

92  7062 

927114 

927165 

92  7216 

92  7268 

927319 

5i 

346 

7370 

7422 

7473 

7524 

7576 

7627 

7678 

773° 

7781 

7832 

5i 

847 

7883 

7935 

7986 

8037 

8088 

8140 

8191 

8242 

8293 

8345 

51 

848 

8396 

8447 

8498 

8549 

8601 

8652 

8703 

8754 

8805 

8857 

5i 

849 

8908 

8959 

9010 

9061 

9112 

9163 

9215 

9266 

9317 

9368 

5i 

850 

92  9419  1  92  947° 

929521 

92  9572  92  9623 

92  9674 

929725 

929776 

929827 

92  9879 

51 

851 

9930   9981 

930032 

9300831930134 

930185 

930236 

93  0287 

93  0338 

93  0389 

5i 

852 

93  0440 1  93  0491 

0542 

0592   0643 

0694 

0745 

0796 

0847   0898 

51 

853 

0949    1000 

105 1 

1102   1153 

1204 

1254 

1305 

1356 1   1407 

5i 

854 

1458   1509 

1560 

1610   1661 

1712 

i763 

1814 

1865 j   1915 

51 

855 

931966  932017 

93  2068 

93  2118  932169 

93  2220 

932271 

93  2322 

93  2372 

93  2423 

51 

856 

2474 

2524 

2575 

2626   2677 

2727 

2778 

2829 

2879 

2930 

5i 

857 

2981 

3031 

3082 

3133   3183 

3234 

3285 

3335 

3386 

3437 

5i 

858 

3487 

3538 

3589 

3639 

3690 

3740 

379i 

3841 

3892 

3943 

5i 

859 

3993   4044 

4094 

4145 

4195 

4246 

4296 

4347 

4397 

4448 

51 

860 

93  4498  93  4549 

93  4599 

93  4650 

93  47oo 

93  475 ! 

93  4801 

93  4852 

93  4902 

93  4953 

50 

86  r 

5003 1   5054 

5104 

5*54 

5205 

5255 

53o6 

5356 

54o6 

5457 

50 

862 

5507 

5558 

5608 

5658 

5709 

5759 

5809 

5860 

5910 

5960 

5° 

863 

601 1 

6061 

6111 

6162 

6212 

6262 

6313 

6363 

6413 

6463 

50 

864 

6514 

6564 

6614 

6665 

6715 

6765 

6815 

6865 

6916 

6966 

5° 

865 

937016 

93  7066 

93  7H7 

937167 

937217 

93  7267 

93  7317 

93  7367 

93  74i8 

93  7468 

50 

866 

7518 

7568 

7618 

7668 

7718 

7769 

7819 

7869 

7919 

7969 

5° 

867 

8019 

8069 

8119 

8169 

8219 

8269 

8320 

8370 

8420 

8470 

50 

868 

8520 

8570 

8620 

8670 

8720 

8770 

8820 

8870 

8920 

8970 

5° 

869 

9020 

9070 

9120 

9170 

9220 

9270 

9320 

9369 

9419 

9469 

5° 

870 

93  95J9 

93  9569 

939619 

93  9669 

93  9719 

93  9769 

939819 

93  9869 

939918 

93  9968 

5° 

871 

940018 

940068 

94  01 18  940168 

940218 

94  0267 

940317 

94  0367 

940417 

94  0467 

5° 

872 

0516 

0566 

0616 

0666 

0716 

0765 

0815 

0865 

0915 

0964 

50 

873 

1014 

1064 

1114 

"63 

1213 

1263 

1313 

1362 

1412 

1462 

50 

874 

1511 

1561 

161 1 

1660 

1710 

1760 

1809 

1859 

1909 

1958 

5° 

875 

94  2008 

94  2058 

942107 

942157 

94  2207 

94  2256 

94  2306 

94  2355 

94  2405 

94  2455 

50 

876 

2504 

2554 

2603 

2653 

2702 

2752 

2801 

2851 

2901 

2950 

5° 

877 

3000 

3049 

3099 

3148 

3198 

3247 

3297 

3346 

3396 

3445 

49 

878 

3495 

3544 

359? 

3643 

3692 

3742 

3791 

3841 

3890 

3939 

49 

879 

3989 

4038 

4088 

4137 

4186 

4236 

4285 

4335 

4384 

4433 

49 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

ill— j 

LOGARITHMS   OF   NUMBERS. 


15 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

49 

880 

944483 

944532 

944581 

944631 

94  4680 

94  4729 

94  4779 

94  4828 

94  4877 

94  4927 

881 

4976 

5°25 

5°74 

5t24 

•5173 

5222 

5272 

5321 

537° 

5419 

49 

882 

5469 

55i8 

5567 

5616 

5665 

5715 

5764 

5813 

5862 

5912 

49 

883 

5961 

6010 

6059 

6108 

6157 

6207 

6256 

6305 

6354 

6403 

49 

884 

6452 

6501 

655i 

6600 

6649 

6698 

6747 

6796 

6845 

6894 

49 

885 

94  6943 

94  6992 

94  7°4i 

94  7090 

947140 

947189 

94  7238 

94  7287 

94  7336 

94  7385 

49 

886 

7434 

7483 

7532 

758i 

7630 

7679 

7728 

7777 

7826 

7875 

49 

887 

7924 

7973 

8022 

8070 

8119 

8;68 

8217 

8266 

8315 

8364 

49 

888 

8413 

8462 

8511 

8560 

8609 

8657 

8706 

8755 

8804 

8853 

49 

889 

8902 

8951 

8999 

9048 

9097 

9146 

9195 

9244 

9292 

9341 

49 

890 

94  9390 

94  9439 

94  9488 

94  9536 

94  9585 

94  9634 

94  9683 

94  9731 

94  978o 

94  9829 

49 

89  r 

9878 

9926 

9975 

95  0024 

950073 

95  0121 

950170 

95  0219 

95  0267 

950316 

49 

892 

95  0365 

95  °4i4 

95  0462 

051 1 

0560 

0608 

0657 

0706 

0754 

0803 

49 

893 

0851 

0900 

0949 

0997 

1046 

1095 

"43 

1192 

1240 

1289 

49 

894 

1338 

1386 

1435 

J483 

1532 

1580 

1629 

1677 

1726 

1775 

49 

895 

95  J823 

95  l872 

95  ^20 

95  1969 

95  2017 

95  2066 

95  21 14 

952163 

95  221 1 

95  2260 

48 

896 

2308 

2356 

2405 

2453 

2502 

255° 

2599 

2647 

2696 

2744 

48 

897 

2792 

2841 

2889 

2938 

2986 

3034 

3083 

3131 

3180 

3228 

48 

8g8 

3276 

3325 

3373 

342i 

3470 

35i8 

3566 

3615 

3663 

37" 

48 

899 

3760 

3808 

3856 

3905 

3953 

4001 

4049 

4098   4146 

4194 

48 

900 

95  4243 

95  4291 

95  4339 

95  4387 

95  4435 

95  4484 

95  4532 

95  4580  95  4628 

95  4677 

48 

901 

4725 

4773 

4821 

4869 

4918 

4966 

5OI4 

5062   51 10 

5158 

48 

902 

5207 

5255 

5303 

535i 

5399 

5447 

5495 

5543:   5592 

5640 

48 

903 

5688 

5736 

5784 

5832 

5880 

5928 

5976 

6024   6072 

6120 

48 

904 

6168 

6216 

6265 

6313 

6361 

6409 

6457 

65°5   6553 

6601 

48 

905 

95  6649 

95  6697 

95  6745 

95  6793 

95  6840 

95  6888 

95  6936 

95  6984  95  7°32 

95  7080 

48 

906 

7128 

7176 

7224 

7272 

7320 

7368 

7416 

7464,   7512 

7559 

48 

907 

7607 

7655 

7703 

7751 

7799 

7847 

7S94 

7942   799o 

8038 

48 

908 

80S6 

8i34 

8181 

8229 

8277 

8325 

8373 

8421 .   8468 

8516 

48 

909 

8564 

8612 

8659 

8707 

8755 

8803 

8850 

8898   8946 

8994 

48 

910 

95  9041 

95  9089 

95  9137 

959185 

95  9232 

95  9280 

95  9328 

95  9375  1 95  9423 

95  9471 

48 

911 

95i8 

9566 

9614 

9661 

9709 

9757 

9804 

9852 1   9900 

9947 

48 

912 

9995 

960042 

96  0090 

960138 

960185 

960233 

96  0280 

960328  960376 

96  0423 

48 

913 

960471 

0518 

0566 

0613 

0661 

0709 

0756 

0804 

0851 

0899 

48 

914 

0946 

0994 

1041 

1089 

1136 

1 184 

1231 

1279 

1326 

1374 

48 

915 

96  1421 

96  1469 

96  1516 

96  1563 

96  161 1 

96  1658 

96  1 706 

96  1753 

96  1801 

96  1848 

47 

916 

1895 

1943 

1990 

2038 

2085 

2132 

2180 

2227 

2275 

2322 

47 

917 

2369 

2417 

2464 

2511 

2559 

2606 

2653 

2701 

2748 

2795 

47 

918 

2843 

2890 

2937 

2985 

3032 

3079 

3126 

3174 

3221 

3268 

47 

919 

33i6 

3363 

34io 

3457 

35°4 

3552 

3599 

3646 

3693 

374i 

47 

920 

96  3788 

96  3835 

96  3882 

96  3929 

96  3977 

96  4024 

964071 

964118 

964165 

964212 

47 

921 

4260 

4307 

4354 

4401 

4448 

4495 

4542 

459o 

4637 

4684 

47 

922 

4731 

4778 

4825 

4872 

4919 

4966 

5OI3 

5061 

5108 

5^5 

47 

923 

5202 

5249 

5296 

5343 

5390 

5437 

5484 

553i 

5578 

5625 

47 

924 

5672 

57*9 

5766 

5813 

5860 

5907 

5954 

6001 

6048 

6095 

47 

925 

96  6142 

966189 

96  6236 

96  6283 

96  6329 

96  6376 

96  6423 

96  6470 

966517 

96  6564 

47 

926 

661 1 

6658 

6705 

6752 

6799 

6845 

6892 

6939 

6986 

7°33 

47 

927 

7080 

7127 

7173 

7220 

7267 

73i4 

736i 

7408 

7454 

75GI 

47 

928 

7548 

7595 

7642 

7688 

7735 

7782 

7829 

7875 

7922 

7969 

47 

929 

8016 

8062 

8109 

8156 

8203 

8249 

8296 

8343 

8390 

8436 

47 

930 

96  8483 

96  8530 

968576 

96  8623 

96  8670 

968716 

96  8763 

968810 

96  8856 

96  8903 

47 

931 

8950 

8996 

9043 

9090 

9136 

9183 

9229 

9276 

9323 

9369 

47 

932 

9416 

9463 

9509 

9556 

9602 

9649 

9695 

9742 

9789 

9835 

47 

933 

9882 

9928 

9975 

970021 

970068 

97  01 14 

970161 

97  0207 

970254 

970300 

47 

934 

97  0347 

97  0393 

970440 

0486 

0533 

°579 

0626 

0672 

0719 

0765 

46 

935 

97  0812 

97  0858 

97  0904 

970951 

97  0997 

97  i°44 

97  1090 

97  "37 

971183 

97  1229 

46 

936 

1276 

1322 

1369 

1415 

1461 

1508 

1554 

1601 

1647 

1693 

46 

937 

1740 

1786 

1832 

1879 

1925 

1971 

2018 

2064 

21 10 

2157 

46 

938 

2203 

2249 

2295 

2342 

2388 

2434 

2481 

2527 

2573 

2619 

46 

939 

2666 

2712 

2758 

2804 

2851 

2897 

2943 

2989 

3035 

3082 

46 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

16 


LOGARITHMS   OF   NUMBERS. 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8    9 

D. 

940 

973128 

973174 

97  3220 

97  3266 

97  3313 

97  3359 

97  3405 

97  345 ! 

97  3497  97  3543 

46 

941 

3590 

3636 

3682 

3728 

3774 

3820 

3866 

3913 

3959 

4005 

46 

942 

4051 

4097 

4H3 

4189 

4235 

4281 

4327 

4374 

4420 

4466 

46 

943 

4512 

4558 

4604 

4650 

4696 

4742 

4788 

4834 

4880 

4926 

46 

944 

4972 

5018 

5064 

5110 

5156 

5202 

5248 

5294 

5340 

5386 

46 

945 

97  5432 

97  5478 

97  5524 

97  557° 

975616 

97  5662 

97  5707 

97  5753 

97  5799 

97  5845 

46 

946 

5891 

5937 

5983 

6029 

6075 

6121 

6167 

6212 

6258 

6304 

46 

947 

635° 

6396 

6442 

6488 

6533 

6579 

6625 

6671 

6717 

6763 

46 

948 

6808 

6854 

6900 

6946 

6992 

7037 

7083 

7129 

7175 

7220 

-46 

949 

7266 

73i2 

7358 

7403 

7449 

7495 

754i 

7586 

7632 

7678 

46 

950 

97  7724 

97  7769 

97  7SI5 

97  7861 

97  79o6 

97  7952 

97  7998 

97  8043 

97  8089 

97  8135 

46 

95i 

8181 

8226 

8272 

8317 

8363 

8409 

8454 

8500 

8546 

8591 

46 

952 

8637 

8683 

8728 

8774 

8819 

8865 

891 1 

8956 

9002 

9047 

46 

953 

9093 

9i38 

9184 

9230 

9275 

932i 

9366 

9412 

9457 

95°3 

46 

954 

9548 

9594 

9639 

9685 

9730 

9776 

9821 

9867 

9912 

9958 

46 

955 

980003 

98  0049 

980094 

980140 

98  01 85 

980231 

980276 

980322 

98  0367 

980412 

45 

956 

045S 

0503 

0549 

0594 

0640 

0685 

0730 

0776 

0821 

0867 

45 

957 

0912 

0957 

1003 

1048 

1093 

"39 

1 184 

1229 

1275 

1320 

45 

958 

1366 

141 1 

I456 

1501 

.  1547 

1592 

1637 

1683 

1728 

1773 

45 

959 

1819 

1864 

1909 

1954 

2000 

2045 

2090   2135 

2181 

2226 

45 

960 

98  2271 

982316 

98  2362 

98  2407 

98  2452 

98  2497 

98  2543 

98  2588 

98  2633 

98  2678 

45 

961 

2723 

2769 

2814 

2859 

2904 

2949 

2994 

3040 

3085 

3130 

45 

962 

3175 

3220 

3265 

33io 

3356 

340i 

3446 

349i 

3536 

358i 

45 

963 

3626 

3671 

37i6 

3762 

3807 

3852 

3897 

3942 

3987 

4032 

45 

964 

4077 

4122 

4167 

4212 

4257 

4302 

4347 

4392 

4437 

4482 

45 

965 

984527 

98  4572 

984617 

98  4662 

98  47°7 

984752 

98  4797 

98  4842 

98  4S87 

984932 

45 

966 

4977 

5022 

5067 

5112 

5157 

5202 

5247 

5292 

5337 

5382 

45 

967 

5426 

547 » 

55i6 

556i 

5606 

5651 

5696 

574i 

5786 

5830 

45 

968 

5875 

5920 

5965 

6010 

6055 

6100 

6144 

6189 

6234 

6279 

45 

969 

6324 

6369 

6413 

6458 

6503 

6548 

6593 

6637 

6682 

6727 

45 

970 

986772 

986817 

98  6861 

98  6906 

986951 

98  6996 

98  7040 

98  7085 

98  7130 

98  7175 

45 

971 

7219 

7264 

7309 

7353 

7398 

7443 

74S8 

7577 

7622 

45 

972 

7666 

7711 

7756 

7800 

7845 

7890 

7934 

7979 

8024 

8068 

45 

973 

8113 

8i57 

8202 

8247 

8291 

8336 

8381 

8425 

8470 

8514 

45 

974 

8559 

8604 

8648 

8693 

8737 

8782 

8826 

8871 

8916 

8960 

45 

975 
976 

98  9005 
9450 

98  9049 

98  9094 

989138 
9583 

989183 
9628 

989227 
9672 

989272 
9717 

989316 
9761 

98  9361 
9806 

98  9405 
9850 

45 
44 

9494 

9539 

977 

9895 

9939 

9983 1  99  0028 

99  0072 

990117 

990161 

99  0206 

99  0250 

99  0294 

44 

978 

99  0339 

99  0383 

99  0428 

0472 

0516 

0561 

0605 

0650 

0694 

0738 

44 

979 

0783 

0827 

0871 

0916 

0960 

1004 

1049 

1093 

"37 

1 182 

44 

980 

99  1226 

99  1270 

99I3I5 

99  1359 

99  H03 

99  x448 

99  1492 

99  1536 

99  1580 

99  1625 

44 

981 

1669 

1713 

1758 

1802 

1846 

1890 

1935 

1979 

2023 

2067 

44 

982, 

2111 

2156 

2200 

2244 

2288 

2333 

2377 

2421 

2465 

2509 

44 

983 

2554 

2598 

2642 

26S6 

2730 

2774 

2819 

2863 

2907 

2951 

44 

984 

2995 

3°39 

3083 

3127 

3172 

3216 

3260 

33°4 

3348 

3393 

44 

985 

99  3436 

99  348o 

99  3524 

993568 

99  36i3 

99  3657 

99  37QI 

99  3745 

99  3789 

99  3833 

44 

986 

3877 

392i 

3965 

4009 

4053 

4097 

4141 

4185 

4229 

4273 

44 

987 

4317 

436i 

4405 

4449 

4493 

4537 

458i 

4625 

4669 

47J3 

44 

988 

4757 

4801 

4845 

4889 

4933 

4977 

5021 

5065 

5108 

5*5* 

44 

989 

5'96 

5240 

5284 

5328 

5372 

54i6 

5460 

5504 

5547 

559i 

44 

990 

99  5635 

99  5679 

99  5723 

99  5767 

99  581 1 

99  5854 

99  5898 

99  5942 

99  5986 

996030 

44 

991 

6074 

6117 

6161 

6205 

6249 

6293 

6337 

6380 

6424 

6468 

44 

992 

6512 

6555 

6599 

6643 

6687 

6731 

6774 

6818 

6862 

6906 

44 

993 

6949 

6993 

7°37 

70S0 

7124 

7168 

7212 

7255 

7299 

7343 

44 

994 

7386 

7430 

7474 

75 1 7 

756i 

7605 

7648 

7692 

7736 

7779 

44 

995 

99  7823 

99  7867 

99  79io 

99  7954 

99  7998 

99  8041 

99  8085 

99  8129 

998172 

99  8216 

44 

996 

8259 

8303 

8347 

8390 

8434 

8477 

8521 

8564 

8608 

8652 

44 

997 

8695 

8739 

8782 

8826 

8869 

8913 

8956 

9000 

9043 

9087 

44 

998 

9131 

9174 

9218 

9261 

9305 

9348 

9392 

9435 

9479 

9522 

44 

999 

9565 

9609 

9652 

9696 

9739 

9783 

9826 

9870 

99«3 

9957 

43 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

A    TABLE 


LOGARITHMIC  SINES,  COSINES,  TANGENTS 
AND   COTANGENTS, 


DEGREE  AND   MINUTE   FROM   0°  TO  90°. 


18     LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

0° 


AND   COTANGENTS. 


23 
24 

25 
26 

27 

2& 
29 
30 
31 
32 

33 
34 
35 
36 
37 
38 
39 
40 
41 
42 
43 
44 

45 

46 
47 
48 
49 
5° 
5i 
52 
53 
54 
55 
56 
57 
53 
59 
60 


6.463  726 
.764  756 
.940  847 

7.065  786 

7.162696 
.241  877 
.308  824 
.366816 
.417968 

7.463  726 
.505  1 18 
.542  906 
.577668 
.609  853 

7.639  816 
.667  845 
•694  173 
•7l8997 
.742  478 

7.764754 

.785  943 

.806  146 

.825451 

•843  934 

7.861  662 

•878  695 

.895  085 

.910  879 

.926  119 

7.940  842 

.955  082 

.968  870 

.982  233 

•995  198 

8.007  787 

.020021 

.031  919 

.043  501 

.054781 

8.065  776 

.076  500 

.086  965 

.097  183 

.107  167 

8.116926 

.126471 

.135810 

•  144  953 

•153  907 

8.162  681 

.171  280 

•179  7*3 

.187985 

.196  102 

8.204  070 

.211895 

.219581 

.227  134 

•234  557 

8241  855 

Ooa. 


5017.17 

2934-85 

2082.32 

1615.17 

1319.68 

"1578 

966.53 

852.53 

762.63 

689.87 
629.80 
579-37 
536-42 
499.38 
467.15 
438.80 
41373 
391-35 
37!-27 
353-15 
336-72 
32I-75 
308.05 
295.47 
283.88 

273-I7 
263.23 
254.00 
245.38 

237-33 
229.80 
222.72 
216.08 
209.82 
203.90 
198.30 

I93-03 
188.00 
183.25 

I78-73 
174.42 
170.30 
166.40 
162.65 
159.08 

I55-65 
152.38 
149.23 
146-23 

I43.32 
140.55 

I37.87 
-  135.28 
132.80 
130.42 
128.10 
125.88 
123.72 
121.63 

D.  1". 


Cos, 


10.000000 
.000000 
.000000 
.000000 
.000  000 
10.000000 
9.999  999 
•999  999 
•999  999 
•999  999 
9.999  998 
.999  998 
•999  997 
•999  997 
•999  996 
9.999  996 
•999  995 
•999  995 
•999  994 
•999  993 
9-999  993 
•999  992 
•999  99i 
•999  990 
•999  989 
9.999  989 
•999  988 
•999  987 
•999  986 
•999  985 
9-999  983 
•999  982 
.999981 
•999  98o 
•999  979 
9.999  977 
•999  976 
•999  975 
•999  973 
.999  972 
9.999971 
•999  969 
•999  968 
•999  966 
•999  964 
9-999  963 
•999  961 
•999  959 
•999  958 
•999  956 
9-999  954 
•999  95  2 
•999  95° 
•999  948 
•999  946 
9.999  944 
•999  942 
•999  940 
•999  938 
•999  936 
9999  934 
Sin. 


.02 
.02 
.02 
.02 
•03 
.02 
.02 

•03 
.02 
.02 

•03 
.02 
•03 
•03 
.02 

•03 
•03 
.02 

•03 
•03 
•03 
•03 
•03 
•03 
•03 
•03 
•03 
.03 
•03 
•°3 


Tan, 


6.463  726 
.764756 
•940  847 
7.065  786 
7.162  696 
.241  878 
.308  825 
.366817 
.417970 

7-463  727 
.505  120 
.542  909 
.577672 
.609  857 

7.639  820 
.667  849 
.694179 
.719003 
.742  484 

7.764761 
.785951 
.806  155 
.825  460 
•843  944 

7.861  674 
.878  708 
.895  099 
.910  894 
.926  134 

7.940  858 

•955  IO° 
.968  889 
.982  253 
•995  2I9 
8.007  809 
.020  044 
.031  945 
•043  527 
.054  809 

8.065  806 
•076  53i 
.086  997 
.097217 
.107  203 

8. 1 16  963 
.126  510 

.135851 
.144996 

•I53  952 

8.162  727 
.171  328 
.179763 
.188036 
.196  156 

8.204  126 
•211  953 
.219641 
.227  195 
.234621 

8.241  921 
Got 


Cot. 


5017.17 
2934-S5 
2082.32 
1615.17 
1319.70 
1115.78 
966.53 

852.55 
762.62 

689.88 
629.82 
579-38 
536-42 
499.38 

467.15 
438-83 
413-73 
391-35 
371.28 

353-!7 
336-73 
321-75 
308.07 
295.50 
283.90 
273.18 
263.25 
254.00 
245.40 

237-37 
229.82 
222.73 
216.10 
209.83 
203.92 
198.35 
19303 
188.03 
183.28 

I78-75 
174-43 
1 7°-33 
166.43 
162.67 
159.12 
155.68 
152.42 
149.27 
146.25 

M-3-35 
140.58 
137.88 
135-33 
132.83 

13045 
128.13 
125.90 

123-77 
121.67 


D.  1". 


—  00 

3-536  274 

.235  244 

•059  153 

2-934  214 

2.837  304 

.75S122 

.691  175 

■633  183 

.582  030 

2.536273 
.494  880 
457  09I 
.422  328 
•390  143 

2.360  180 
•332  I51 
.305  821 
.2S0997 
.257516 

2.235  239 
.214049 
.193  845 
•174  540 
.156056 

2.138326 
.121  292 
.104901 
.089  106 
.073  866 

2.059  142 
.044900 
.031  in 

•017747 
.004  781 

1.992  191 

•979  956 
.968055 
•956  473 
•945  '9i 

1-934  194 
.923  469 
.913003 
.902  783 
.892  797 

1.883037 
•873  490 
.864  149 
.855  004 
.846  048 

1-837  273 
.828  672 
.820  237 
.811  964 
.803  844 

I-795  874 
.788  047 
•78o359 
.772  805 
•765  379 

1.758079 


Tan. 


89° 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

1° 


19 


Sin. 


D.  1". 


D.  1' 


Tan. 


D.  1' 


Cot. 


o 

S.241  855 

I 

•249  033 

2 

.256  094 

3 

.263  042 

4 

.269881 

S 

8.276614 

6 

.283  243 

7 

•289  773 

8 

.296  207 

9 

.302  546 

IO 

8.308  794 

ii 

•3H954 

12 

.321  027 

13 

.327016 

14 

•332  924 

15 

8.338  753 

ib 

•344  5°4 

*7 

.350181 

iS 

•355  783 

19 

•361  315 

20 

8.366  777 

21 

•372  171 

22 

•377  499 

2.3 

.382  762 

24 

.387  962 

25 

8.393  101 

26 

.398179 

27 

.403  199 

28 

.408  161 

29 

.413068 

3° 

8.417  919 

31 

.422717 

32 

.427  462 

33 

•432  156 

34 

.436  800 

35 

8.441  394 

3b 

•445  94i 

37 

.450  440 

38 

■454  893 

39 

•459  3°i 

40 

8.463  665 

4i 

.467  985 

42 

.472  263 

43 

.476  498 

44 

■480  693 

45 

8.484  848 

46 

•488  963 

47 

•493  040 

48 

•497  078 

49 

.501  080 

So 

8.505  045 

5i 

.508  974 

52 

.512867 

53 

.516  726 

54 

•520551 

55 

8.524  343 

56 

.528  102 

57 

.531  828 

58 

•535  523 

59 

•539  186 

60 

8.542  819 

119.63 
117.68 

115.80 

113.98 

112.22 
IIO.48 
I08.83 
IO7.23 
IO5.65 
IO4.I3 
IO2.67 
IOI.22 
99.82 
98.47 
97-15 

95-85 
94.62 

93-37 
92.20 
91.03 
89.90 
88.80 
87.72 
86.67 
85-65 
84.63 
83.67 
82.70 
81.78 
80.85 

79-97 
79.08 
78.23 
77.40 

76-57 
75-78 
74.98 
74.22 
73-47 
72-73 
72.00 

7!-3° 

70.58 
69.92 
69.25 
68.58 
67.95 
67.30 
66.70 
66.08 
65.48 
64.88 
64.32 

63-75 
63.20 

62.65 
62.10 
61.58 
61.05 
60.55 

D.  1". 


9-999  934 
■999  932 
•999  929 
•999  927 
•999  925 

9.999  922 
•999  920 
.999918 
.999915 
•999  913 

9.999910 
•999  907 
•999  905 
.999  902 
•999  899 

9.999  897 
•999  894 
•999  891 
.999  888 
•999  885 

9.999  882 
•999  879 
•999  876 
•999  873 
•999  870 

9.999  867 
.999  864 
.999  861 
•999  858 
•999  854 

9.999851 
.999  848 
•999  844 
•999  841 
•999  838 

9-999  834 
.999831 
•999  827 
.999  824 
.999  820 

9.999816 
.999813 
•999  809 
•999  805 
.999  801 

9.999  797 
•999  794 
•999  790 
•999  786 
•999  782 

9.999  778 
■999  774 
•999  769 
•999  765 
•999  761 

9-999  757 
•999  753 
•999  748 
•999  744 
•999  740 

9-999  735 
Sin. 


88° 


8.241  921 
.249  102 
.256 165 
.263115 
.269  956 

8.276691 
•283  323 
.289  856 
.296  292 
.302  634 

8.308  884 
.315  046 
.321 122 

•327  "4 
•333025 

8.338  856 
•344  6io 
.350  289 

•355  895 
.361  430 

8.366  895 
.372  292 
•377  622 
.382  889 
.388  092 

8-393  234 
•398 3lS 
•403  338 
.408  304 
•413213 

8.418068 
.422  869 
.427  618 

•432315 
.436  962 

8.441  560 
.446  1 10 
.450613 

•455  070 
.459481 

8.463  849 
.468  172 
.472454 
.476  693 
.480  892 

8.485  050 
.489  170 
■493  250 
■497  293 
.501  298 

8.505  267 
.509  200 
.513098 
.516  961 
.520  790 

8.524  586 
•528  349 
.532080 
•535  779 
•539  447 

8-543  084 
Cot. 


119.68 
117.72 
115.83 
114.02 
112.25 
110.53 
108.88 
107.27 
105.70 
104.17 
102.70 
101.27 
99.87 
98.52 
97.18 

95-90 
94-65 
93-43 
92.25 
91.08 
89.95 
88.83 
87.78 
86.72 
85.70 
84.68 
83-72 
82.77 
81.82 
80.92 
80.02 

79-15 
78.28 

77-45 
76.63 

75-83 
75-°5 
74.28 
73-52 
72.80 
72.05 

71-37 
70.65 
69.98 
69.30 
68.67 
68.00 
67.38 
66.75 
66.15 

65-55 
64.97 

64.38 
63.82 
63.27 
62.72 
62.18 
61.65 
61.13 
60.62 

D.  1". 


1.758079 
.750  898 
•743  835 
.736885 
.730044 

1.723309 
.716  677 
.710144 
.703  708 
.697  366 

1. 691  116 
•684  954 
.678  878 
.672  886 
.666  975 

1.661  144 
•655  390 
.649711 
.644  105 
.638570 

1.633  i°5 
.627  708 
.622  378 
.617  in 
.61 1  908 

1.606766 
.601  685 
.596  662 
.591  696 
.586  787 

1-581  932 
•577  131 
.572382 
.567  685 
•563  038 

1.558440 
•553890 
•549  387 
•544  93° 
•54° 5*9 

1.536  151 
•531  828 
.527  546 

•523  307 
.519  108 

1. 514950 
.510830 
•506  75° 
.502  707 
.498  702 

1-494  733 
.490  800 
.486  902 
•483  039 
.479  210 

1-475  4i4 
.471  651 
.467  920 
.464  221 
■460  553 

1.456916 
Tan. 


20     LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

2° 


Sin. 


D.  1", 


Cos. 


D.  1' 


Tan. 


D.  1". 


Cot. 


o 

8.542819 

I 

.546  422 

2 

•549  995 

3 

•553  539 

4 

•557  054 

5 

8.560  540 

6 

•563  999 

7 

•567  43i 

8 

.570836 

9 

.574214 

10 

8.577  566 

ii 

.580  892 

12 

•584  193 

13 

.587  469 

14 

.590  721 

15 

8-593  948 

ib 

•597I52 

17 

.600  332 

18 

.603  489 

19 

.606  623 

20 

8.609  734 

21 

.612823 

22 

.615891 

23 

.618937 

24 

.621  962 

25 

8.624  965 
.627  948 

26 

27 

.630911 

28 

•633  854 

29 

.636  776 

30 

8.639  680 

31 

.642  563 

32 

.645  428 

33 

.648  274 

34 

.651  102 

35 

8.653  91 1 

36 

.^6702 

37 

•659  475 

38 

.662  230 

39 

.664  968 

40 

8.667  689 

4i 

•670  393 

42 

.673  080 

43 

•675  751 

44 

.678  405 

45 

8.681  043 

46 

.683  665 

47 

.686  272 

48 

.688  863 

49 

.691  438 

50 

8.693  998 

5i 

.696  543 

52 

•699  073 

53 

.701  589 

54 

.704090 

55 

8.706  577 

5b 

.709  049 

57 

.711507 

58 

•7J3952 

59 

•716383 

60 

8.718800 

60.05 
59-55 
59-o7 
58.58 
58.10 

57-65 
57.20 

56-75 
56.30 

55-87 

55-43 
55.02 
54.60 
54.20 
53-78 
53-40 
53.00 
52.62 
52-23 
5I-85 
5148 
5'-!3 
50.77 
50.42 
50.05 
49.72 
4938 
4905 
48.70 
48.40 
48.05 
47-75 
47-43 
47-13 
46.82 

46.52 
46.22 
45.92 
45-63 
45-35 
45-°7 
44.78 

44-52 
44-23 
43-97 
43-70 
43-45 
43-18 
42.92 
42.67 
42.42 
42.17 
41-93 
41.68 
41.45 
41.20 
40.97 
40.75 
40.52 
40.28 

D.  1". 


9-999  735 
•999  73i 
•999  726 
•999  722 
.999717 

9-999  7f3 
•999  708 
•999  704 
•999  699 
■999  694 

9.999  689 
•999  685 
.999  680 
•999  675 
•999  670 

9.999  665 
.999  660 
•999  655 
•999  650 
•999  645 

9.999  640 
•999  635 
•999  629 
•999  624 
•999  619 

9.999614 
.999  608 
•999  603 
•999  597 
•999  592 

9.999  586 
•999  581 
•999  575 
•999  57° 
•999  564 

9.999  558 
•999  553 
•999  547 
■999  54i 
•999  535 

9-999  529 
•999  524 
.999518 
.999512 
•999  5°6 

9.999  500 
•999  493 
•999  487 
.999481 
•999  475 

9.999  469 
•999  463 
•999  456 
■999  45° 
•999  443 

9-999  437 
.999  431 
•999  424 
.999418 
.999411 

9.999  404 


D.l" 


8.543  084 
.546  691 
.550  268 
•553817 
•557336 

8.560  828 
.564  291 
•567  727 
•571 137 
.574520 

8.577877 
.581 208 
.584514 

•587  795 
■591 051 

8.594  283 
•597  492 
.600  677 
•603  839 
.606  978 

8.610094 
.613  189 
.616262 

•619 313 
.622  343 

8.625  352 
.628  340 
.631  308 
•634  256 
.637  184 

8.640  093 
.642  982 

•645  853 
.648  704 
•651  537 

8.654  352 
•657  149 
.659  928 
.662  689 
•665  433 

8.668  160 
.670  870 

•673  563 
•676239 
.678  900 

8.681  544 
.684  172 
.686  784 
.689  381 
.691  963 

8.694529 
.697081 
.699617 
.702  139 
.704  646 

8.707  140 
.709  618 
.712083 
•714  534 
.716972 

8-7I9  396 
Cot. 


60.12 
59.62 
59-15 
58.65 
58.20 

57-72 

57.27 
56.83 
56.38 
55-95 
55-52 
55-10 
54.68 

54-27 
53-87 
5348 
53-o8 
52.70 
52-32 
51-93 
5I-58 
51.22 
50.85 
50.50 
50-15 
49.80 
49-47 
49-13 
48.80 
48.48 
48.15 

47-85 
47.52 
47.22 
46.92 
46.62 
46.32 
46.02 
45-73 
4545 

45*7 
44.88 
44.60 

44-35 
44.07 

43-8o 
43-53 
43.28 
43-03 
42.77 

42-53 
42.27 
42.03 
41.78 
41-57 
41.30 
41.08 
40.85 
40.63 
40.40 

D.  1". 


1.456  916 

60 

453  309 

59 

•449  732 

58 

.446  183 

57 

.442  664 

56 

1.439  172 

55 

435  709 

54 

432  273 

53 

.428  863 

52 

.425  480 

5i 

1.422  123 

50 

.418792 

49 

415486 

48 

.412  205 

47 

.408  949 

46 

1.405  717 

45 

.402  508 

44 

•399  323 

43 

.396  161 

42 

.393022 

4i 

1.389906 

40 

.386811 

39 

•383  738 

38 

.380  687 

37 

■377  657 

36 

1.374648 

35 

.371  660 

34 

.368  692 

33 

•365  744 

32 

.362816 

3i 

I-359  907 

30 

.357018 

29 

•354  147 

28 

.351  296 

27 

•348  463 

26 

1.345  648 

25 

•342851 

24 

.340072 

23 

•337 3ii 

22 

•334  567 

21 

1. 33 1  840 

20 

•329  130 

19 

•326  437 

18 

.323  761 

17 

.321  100 

16 

1.318456 

15 

.315828 

14 

.313216 

13 

.310619 

12 

.308037 

11 

1.305  471 

10 

.302919 

9 

.300  383 

8 

.297  861 

7 

•295  354 

6 

1.292  860 

5 

.290  382 

4 

.287917 

3 

.285  466 

2 

.283  028 

1 

1.280604 

0 

LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

3° 


AND   COTANGENTS.    21 


D.  1". 


Cos. 


Tan. 


D.  1". 


Cot. 


o 

8.718800 

I 

.721  204 

2 

•723  595 

3 

.725  972 

4 

•728  337 

5 

8.730  688 

b 

•733027 

7 

•735  354 

8 

•737  667 

9 

•739  969 

10 

8.742  259 

ii 

•744  536 

12 

.746  802 

13 

•749  055 

*4 

.751  297 

15 

8-753  528 

ib 

•755  747 

17 

•757  955 

18 

.760151 

19 

•762  337 

20 

8.764  51 1 

21 

.766  675 

22 

.768  828 

23 

.770970 

24 

•773  101 

25 

8-775  223 

26 

•777  333 

27 

•779  434 

28 

.781  524 

29 

•783  605 

3° 

8.785  675 

31 

.787  736 

32 

.789  787 

33 

.791  828 

34 

•793  859 

15 

8.795  881 

36 

•797  894 

37 

•799  897 

38 

.801  892 

39 

.803  876 

40 

8.805  852 

4i 

.807819 

42 

•809  777 

43 

.811  726 

44 

.813667 

45 

8.815599 

46 

.817  522 

47 

.819436 

48 

•821  343 

49 

.823  240 

50 

8.825  130 

5i 

.827011 

52 

.828  884 

53 

.830  749 

54 

.832  607 

55 

8.834456 

5b 

.836  297 

57 

.838  130 

58 

•839  956 

59 

.841  774 

60 

8.843  585 

40.07 

39.85 
39.62 
3942 

39.18 
38.98 
38.78 
38-55 
38.37 
38.17 

37-95 
37-77 
37-55 
37-37 
37-i8 
36.98 
36.80 
36.60 
36.43 
36.23 
36.07 
35.88 
35-7° 
35-52 
35-37 

35-!7 

35.02 

34-83 
34.68 

34-5° 

34-35 
34.18 
34.02 
33-85 
33-7° 
33-55 
33-38 
33-25 
33-o7 
32-93 
32.78 
32.63 
32.48 
32.35 
32.20 

32.05 
31.90 
3I-78 
31.62 

3i-5° 

31-35 

31.22 
31.08 

30-97 
30.82 

30.68 
30-55 
30-43 
3030 
30.18 

D.  1". 


9.999  404 
•999  398 
•999  39i 
•999  384 
•999  378 

9-999  371 
•999  364 
•999  357 
•999  35° 
•999  343 

9-999  336 
•999  329 
•999  322 
•999  315 
•999  308 

9.999  301 
•999  294 
•999  287 
•999  279 
•999  272 

9.999  265 
.999257 
.999250 
•999  242 
•999  235 

9.999  227 
.999  220 
.999212 
•999  205 
•999  J97 

9.999  189 
.999  181 

•999  '  74 
.999  166 

•999  l5% 
9.999  150 
•999  M2 
•999  J34 
.999  126 
.999118 
9.999  no 
.999  102 
•999  094 
.999  086 

•999  °77 
9.999  069 
.999  061 
•999  053 
•999  044 
•999  036 
9.999  027 
.999019 
.999010 
.999  002 
.998  993 
9.998  984 
•998  976 
.998  967 
•998  958 
.998  950 

9-998  94i 
Sin. 


.12 
.12 

•13 
.12 
.12 

•13 
.12 

•13 

.12 

•13 
.12 

•13 
.12 

•13 

•13 

•13 
.12 

•*3 

.13 
•13 
•13 

•*3 
.13 
•13 
•13 
.13 
•13 
•*3 
•15 
•J3 
.13 
•13 
•15 
•13 
•15 
•13 
•15 
•13 
•15 
•15 
•13 
•15 
•l5 
•13 
•15 

D.1" 

86° 


8.719396 
.721  806 
.724  204 
.726  588 
•728959 

8-731  3i7 
•733  663 
•735  996 
•738  317 
.740  626 

8.742  922 
•745  207 
•747  479 
•749  740 
•75 !  989 

8.754227 

•756  453 
.758  668 
.760872 
.763  065 
8.765  246 
.767417 
.769  578 
.771  727 
•773  866 

S-775  995 
.778114 
.780  222 
.782  320 
.784  408 

8.786  486 
.788  554 
.790  613 
.792  662 
•794  701 

8.796  73i 
.798  752 
.800  763 
.802  765 
.804  758 

8.806  742 
.808717 
.810683 
.812641 

.814589 

8.816529 
.818461 
.820  384 
.822  298 
.824  205 

8.826  103 
.827  992 
.829  874 
.831  748 
•833613 

8.835  47i 
•837  321 
.839  163 
.840  998 
.842  825 

8.844  644 
Cot. 


40.17 
39-97 
39-73 
39-52 
39-30 
39.10 
38.88 
38.68 
38.48 
38.27 
38.08 

37-87 
37.68 
3748 
37-3o 
37-*o 
36.92 
36-73 
36-55 
36-35 
36.18 
36.02 
35.82 
35-65 
3548 
35-32 
35-!3 
34-97 
34.80 

34-63 
34-47 
34-32 
34-15 
33-98 
33-83 
33-68 
33-52 
33-37 
33-22 
33-07 
32.92 
32-77 
32-63 
32-47 
32-33 
32.20 
32-05 
31.90 
3i-78 
3163 
31.48 
31-37 
31-23 
31.08 

30.97 
30.83 
30.70 
30.58 
3045 
30.32 

D.  1". 


1.280604 
.278  194 
•275  796 
.273412 
.271  041 

1.268683 
.266  337 
.264004 
.261  683 
•259  374 

1.257078 

•254  793 
.252  521 
.250  260 
.248  01 1 

1-245  773 
•243  547 
.241  332 
.239  128 
•236  935 

1-234  754 
•232  583 
.230422 
.228  273 
.226  134 

1.224005 
.221  886 
.219778 
.217680 
•215  592 

1.213514 
.211  446 
.209  387 
•207  338 
.205  299 

1.203  269 
.201  248 
.199237 

•197  235 
.195  242 

1. 193  258 
.191  283 
.189317 
.187  359 
.185411 

1.183471 
.181539 
.179  616 
.177702 
•175  795 

I-I73  897 
.172008 
.170  126 
.168  252 
.166387 

1. 164  529 
.162  679 
.160837 
.159002 
•157 175 

i-!55  356 
Tan. 


22      LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

40 


Sin, 


D.  1". 


Cos. 


Tan. 


D.  1". 


Cot. 


8.843  585 
•845  387 
.847  183 
.848971 
.850751 

8.852525 
.854291 
.856  049 
.857  801 
.859  546 

8.861  283 
.863014 
•864  738 
•866  455 
.868  165 

8.869  868 
.871  565 
•873255 
•874  938 
.876615 

8.878  285 
•879  949 
.881  607 
.883  258 
•884  903 

8.886  542 
.888  174 
.889  801 
.891  421 
•893  035 

8.894  643 
.896  246 
.897  842 
.899  432 
.901  017 

8.902  596 
.904  169 
.905  736 
.907  297 
.908  853 

8.910404 
.911949 
.913488 
.915  022 
.916550 

8.918073 
.919591 
.921  103 
.922  610 
.924112 

8.925  609 
.927  100 
.928  587 
.930  068 
•931  544 

8.933  015 
.934481 
•935  942 
•937  398 
•938  850 

8.940  296 
Oos. 


30-03 
29-93 
29.80 
29.67 
29.57 

29-43 
29.30 
29.20 
29.08 
28.95 
28.85 

28.73 
28.62 
28.50 
28.38 
28.28 
28.17 
28.05 
27.95 
27-83 

27-73 
27.63 
27.52 
27.42 
27.32 
27.20 
27.12 
27.00 
26.90 
26.80 
26.72 
26.60 
26.50 
26.42 
26.32 
26.22 
26.12 
26.02 
25-93 
25-85 
25-75 
25-65 
25-57 
25-47 
25.38 

25-30 
25.20 
25.12 
2503 
2495 
24.85 
24.78 
24.68 
24.60 
24.52 

24-43 
24-35 
24.27 
24.20 
24.10 

D.  1". 


9.998  941 
.998  932 
•998  923 
.998914 
•998  905 

9.998  896 
.998  887 
.998  878 
.998  869 
.998  860 

9.998851 
.998  841 
.998  832 
.998  823 
.998813 

9.998  804 
.998  795 
•998  785 
•998  776 
.998  766 

9.998  757 
•998  747 
•998  738 
.998  728 
.998  718 

9.998  708 
•998  699 
.998  689 
•998  679 
.998  669 

9.998  659 
.998  649 
.998  639 
.998  629 
.998  619 

9.998  609 
•998  599 
•998  589 
•998  578 
.998  568 

9-998  558 
•998  548 
•998  537 
■998  527 
.998516 

9.998  506 
.998  495 
•998  485 
•998  474 
•998  464 

9-998  453 
.998  442 
.998431 
.998421 
.998410 

9.998  399 
.998  388 
•998  377 
.998  366 
■998  355 

9998  344 
Sin. 


.18 
.18 

D.  1". 

85° 


8.844  644 
.846455 
.848  260 
.850057 
.851  846 

8.853  628 

•855  403 
.857171 
•858  932 

.860  686 

8.862  433 
•864173 
.865  906 
.867  632 
.869351 

8.871  064 
.872  770 
.874  469 
.876  162 
.877  849 

8.879  529 
.881  202 
.882  869 
•884  530 
.886  185 

8.887  833 
.889  476 
.891  112 
.S92  742 
.894  366 

8.895  984 
•897  596 
.899  203 
.900  S03 
.902  398 

8.903  987 
.905  570 
.907  147 
.908  719 
.910285 

8.91 1  846 
.913401 

•914  951 
.916495 
.918034 
8.919568 
.921  096 
.922619 
.924  136 
.925  649 

8.927  156 
.928  658 
•930  155 
•93i  647 
•933  134 

8.934616 
•936  093 
•937  565 
•939032 
•940  494 

8-941  952 
Cot. 


30.18 
30.08 
29.95 
29.82 
29.70 

29-58 
29.47 

29-35 
29.23 
29.12 
29.00 
28.88 
28.77 
28.65 
28.55 
28.43 
28.32 
28.22 
28.12 
28.00 
27.88 
27.78 
27.68 
27.58 
27.47 

27-38 
27.27 
27.17 
27.07 
26.97 
26.87 
26.78 
26.67 
26.58 
26.48 
26.38 
26.28 
26.20 
26.10 
26.02 
25.92 
25-83 
25-73 
25-65 
25-57 

25-47 
25.38 
25.28 
25.22 
25.12 

2503 
24-95 
24.87 
24.78 
24.70 
24.62 

24-53 
24.45 

24-37 
24.30 

D.  1". 


I-I55  356 
•153  545 
.151  740 

•149  943 
.148  154 

1. 146  372 

•144  597 
.142  S29 
.141  068 
•139 314 

1. 137  567 
•135827 
.134094 
.132368 
.130649 

1. 128  936 
.127230 
•125  531 
.123838 
.122151 

1.120471 
.118798 
.117  131 
•  1 15  47° 
.113815 

1. 112  167 
.110  524 
.108  888 
.107  258 
.105  634 

1. 104  016 
.102404 
.100797 

•099  197 
.097  602 

1.096  013 
•094  43° 
.092  853 
.091  281 
.089  715 

1.088  154 
.0S6  599 
.0S5  049 
.083  505 
.081  966 

1.0S0432 
.078  904 
.077381 
•075  864 
•074  35  « 

1.072  S44 
.071  342 
.069  845 
.068  353 
.066  866 

1.065  384 
•063  907 
.062  435 
.060  968 
.059  506 

1.058048 
Tan. 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

5° 


23 


M. 


Sin, 


o 

8.940  296 

I 

.941  738 

2 

•943  174 

3 

.944606 

4 

.946  034 

5 

8-947  45° 

6 

.948  874 

7 

.950  287 

8 

.951  696 

9 

•953  100 

IO 

8-954  499 

ii 

•955  894 

12 

•957  284 

13 

.958  670 

14 

.960052 

15 

8.961  429 

16 

.962  801 

17 

.964170 

18 

•965  534 

19 

.966  893 

20 

8.968  249 

21 

.969  600 

22 

.970  947 

23 

.972  289 

24 

.973  628 

25 

8.974  962 

26 

.976  293 

27 

.977619 

28 

.978  941 

29 

.980  259 

30 

8.981  573 
.982  883 

31 

32 

.984  189 

33 

.985  491 

34 

.986  789 

35 

8.988  083 

36 

•989  374 

37 

.990  660 

38 

•99i  943 

39 

.993  222 

40 

8-994  497 

41 

•995  768 

42 

•997  °36 

43 

•998  299 

44 

•999  56° 

45 

9.000816 

46 

.002  069 

47 

.003318 

48 

.004  563 
.005  805 

49 

SO 

9.007  044 

5i 

.008  278 

52 

.009  510 

53 

.010  737 

54 

.011  962 

55 

9.013  182 

5b 

.014  400 

57 

.015613 

58 

.016824 

59 

.018031 

60 

9.019  235 

Cos. 


D.  1". 


24.03 
23-93 
23.87 
23.80 
23.70 
23-63 
23-55 
23.48 
23.40 
23-32 
23.25 

23-17 
23.10 

23-03 
22.95 
22.87 
22.82 

22.73 
22.65 
22.60 
22.52 
22.45 
22.37 
22.32 
22.23 
22.18 
22.10 
22.03 
21.97 
21.90 
21.83 
21.77 
21.70 
21.63 
21-57 
21.52 
21-43 
21.38 
21.32 
21.25 
21.18 
21.13 
21.05 
21.02 
20.93 
20.88 
20.82 

20.75 
20.70 
20.65 
20.57 
20.53 
20.45 
20.42 
20.33 
20.30 
20.22 
20.18 
20.12 
20.07 

D.  1". 


9.998  344 
•998  333 
.998  322 
.998311 
.998  300 

9.998  289 
•998  277 
.998  266 
•998  255 
•998  243 

9.998  232 
.998  220 
.998  209 
•998  197 
.998  186 

9.998174 
.998  163 
.998  151 
.998  139 
.998  128 

9.998  116 
.998  104 
.998  092 
.998  080 
.998  068 

9.998  056 
.998  044 
•998  032 
.998  020 
.998  008 

9.997  996 
•997  984 
•997  972 
•997  959 
•997  947 

9-997  935 
•997  922 
•997  9io 
•997  897 
•997  885 

9.997  872 
.997  860 
•997  847 
•997  835 
.997  822 

9.997  809 
•997  797 
•997  784 
■997  77i 
■997  758 

9-997  745 
•997  732 
.997719 

•997  7°6 
•997  693 
9.997  680 
•997  667 
•997  654 
•997  641 
.997  628 

9.997614 


D.  1". 


.20 
.20 

.22 
.20 
.20 


.22 
.22 
.22 
.22 
.22 
•23 

D.1" 
84c 


Tan. 


8.941  952 
•943  404 
•944  852 
.946  295 
•947  734 

8.949  168 
.950597 
.952021 

•953  441 
•954  856 

8.956  267 
•957  674 
•959075 
.960  473 
.961  866 

8.963  255 
.964  639 
.966019 
•967  394 
.968  766 

8-97°  l33 

•97 1  496 
.972855 
•974  209 
■975  56° 
8.976  906 
.978  248 
•979  586 
.980921 
.982  251 

8-983  577 
.984  899 
.986217 
•987  532 
.988  842 

8.990  149 
.991451 
•992  75° 
•994045 
•995  337 

8.996  624 
•997  908 
.999  188 

9.000  465 
.001  738 

9.003  007 
.004  272 
•005  534 
.006  792 
.008  047 

9.009  298 
.010546 
.011790 
.013031 
.014  268 

9.015  502 
.016  732 
•OI7  959 
.019  183 
.020  403 

9.021  620 
Cot. 


D,  1". 


24.20 

24-13 

24.05 
23.98 
23.90 
23.82 

23-73 
23.67 
23-58 
23.52 

23-45 
23-35 
23-30 
23.22 

23-15 
23.07 
23.00 
22.92 
22.87 
22.78 
22.72 
22.65 

22.57 
22.52 
22.43 
22.37 
22.30 
22.25 
22.17 
22.10 
22.03 
21.97 
21.92 
21.83 
21.78 
21.70 
21.65 
21.58 
21-53 
21-45 
21.40 

21-33 
21.28 
21.22 
21.15 
21.08 
21.03 
20.97 
20.92 
20.85 
20.80 
20.73 
20.68 
20.62 
20.57 
20.50 
20.45 
20.40 

20.33 
20.28 

D.  1". 


Cot. 


1.058048 
.056  596 
.055  148 
.053  7°5 
.052  266 

1.050  832 
.049403 
•047  979 
•046  559 
.045  144 

1 -043  733 
.042  326 
.040  925 
.039  527 
.038  134 

1.036  745 
.035  361 
.033981 
.032  606 
.031  234 

1.029  867 
.028  504 
•027  145 
•025  791 
.024  440 

1.023094 
.021  752 
.020414 
.019079 
.017749 

1. 01 6  423 
.015  101 

•013783 
.012468 
.011  158 
1.009  85 1 
.008  549 
.007  250 

•o°5  955 
.004  663 

1.003376 
.002  092 
.000812 

0-999  535 
.998  262 

0.996  993 
•995  728 
.994  466 
•993  208 
•99i  953 

0.990  702 

•989  454 
.988  210 
.986  969 
.985  732 

0.984  498 
.983  268 
.982  041 
.980817 
•979  597 

0.978  380 

Tan. 


24 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

6° 


D.  1' 


Cos, 


Tan. 


D.  1' 


Cot, 


9-< 


9-' 


019235 

020  435 

021  632 

022  825 
024016 

025  203 

026  386 

027  567 

028  744 
029918 

031  089 

032  257 
033421 

034  582 

035  74i 

036  896 
038  048 

■039  197 
.040  342 
.041  485 
.042  625 
.043  762 
.044  895 
.046  026 
.047  154 
.048  279 
.049  400 
.050519 
.051  635 
.052  749 

•053  859 
.054  966 
.056071 
.057  172 
.058271 
.059  367 
.060  460 
.061  551 
.062  639 
.063  724 
.064  806 
.065  885 
.066  962 
.068  036 
.069  107 
.070  176 
.071  242 
.072  306 
.073  366 
.074  424 
.075  480 
•076  533 
•077  583 
.078  631 
.079  676 
.080  719 
.081  759 
.082  797 
.083  832 
.084  864 
.085  894 
Cos. 


20.00 
19.95 
19.88 
19.85 
19.78 
19.72 
19.68 
19.62 

19-57 
19.52 

1947 
19.40 

19-35 
19.32 

19-25 
19.20 

19-15 
19.08 
19.05 
19.00 
18.95 
18.88 
18.85 
18.80 
18.75 
18.68 
18.65 
18.60 

18.57 
18.50 

18.45 
18.42 
18.35 
18.32 
18.27 
18.22 
18.18 
18.13 
18.08 
18.03 
17.98 

17-95 
17.90 
17.85 
17.82 
17.77 

17-73 
17.67 

1763 
17.60 

17-55 
17-5° 
17-47 
17.42 

I7-38 
17-33 
I7-30 
i7-25 
17.20 
17.17 


9-997  6l4 
.997  601 
•997  588 
•997  574 
•997  561 

9-997  547 
•997  534 
•997  52° 
•997  507 
•997  493 

9.997  480 
•997  466 
•997  452 
•997  439 
•997  425 

9.997  41 1 
•997  397 
•997  383 
•997  369 
•997  355 

9-997  341 
•997  327 
•997  313 
•997  299 
•997  285 

9.997  271 
•997  257 
•997  242 
.997  228 
•997  214 

9.997  199 
•997  185 
•997  »70 
•997  i56 
•997  Hi 

9.997  127 
.997112 
.997  098 
■997  083 
.997  068 

9-997  053 
•997  °39 
•997  024 
•997  °°9 
.996  994 

9.996  979 
.996  964 
.996  949 
.996  934 
.996919 

9.996  904 
.996  889 
.996  874 
•996  858 
.996  843 

9.996  828 
.996812 
.996  797 
.996  782 
.996  766 

9.996751 


9.021  620 
.022  834 
.024  044 
.025251 
.026  455 

9.027  655 
.028  852 
.030  046 
.031  237 
.032  425 

9.033  609 
•034  791 
.035  969 
•037  144 
.038316 

9-039  485 
.040  65 1 
.041  813 
•042  973 
.044  130 

9.045  284 
•046  434 
.047  582 
.048  727 
.049  869 

9.051  008 
.052  144 
•053  277 
•054  407 
•°55  535 

9.056659 
•057  781 
.058  900 
.060016 
.061  130 

9.062  240 
•063  348 
.064453 
•065  556 
.066655 

9.067  752 
.068  846 
•069  938 
.071  027 
.072113 

9.073  197 
.074  278 

■075  356 
.076  432 

•077  5°5 
9.078  576 

•079  644 
.080  710 
.081  773 
.082  833 

9.083  891 
•084  947 
.086  000 
.087  050 
.088  098 

9.089  144 


20.23 
20.17 
20.12 
20.07 
20.00 

19-95 

19.90 

19-85 
19.80 

19-73 
19.70 
19.63 
19.58 

19-53 
19.48 

1943 
19-37 
19-33 
19.28 
19.23 
19.17 

I9-I3 
19.08 
19.03 
18.98 
18.93 
18.88 
18.83 
18.80 
18-73 
18.70 
18.65 
18.60 

18.57 
18.50 

18.47 
18.42 
18.38 
18.32 
18.28 
18.23 
18.20 
18.15 
18.10 
18.07 
18.02 
17.97 
17-93 
17.88 
I7-85 
17.80 
17.77 
17.72 
17.67 
17-63 
17.60 
17-55 
17-5° 
1747 
1743 


0.978  380 
.977  166 
•975  956 
•974  749 
•973  545 

0.972  345 
.971  148 

•969  954 
.968  763 
•967  575 

0.966391 
.965  209 
.964031 
.962  856 
.961  684 

0.960  5 1 5 
■959  349 
•958  187 
•957027 
•955  870 

0.954716 

•953  566 
.952418 
■951  273 
•95°  J3i 
0.948  992 
•947  856 
.946  723 
•945  593 
•944  465 

0-943  341 
.942  219 
.941  100 
•939  984 
.938  870 

o.937  76° 
.936  652 

•935  547 

•934  444 

•933  345 

0.932  248 

•93i  154 
.930  062 
.928  973 
.927  887 

0.926  803 
•925  722 
■924  644 
.923  568 
•922  495 

0.921  424 
.920  356 
.919  290 
.918  227 
.917  167 

0.916  109 

•915  053 
.914000 
.912950 
.911902 
0.910856 


D.  1' 


Bin, 


Cot. 


D.  1". 


Tan. 


83° 


LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

70 


AND   COTANGENTS.     25 


Sin. 


0 

9.085  894 

I 

.086  922 

2 

.087  947 

3 

.088  970 

4 

.089  990 

5 

9.091  008 

6 

.092  024 

7 

•093  °37 

8 

.094  047 

9 

.095  056 

10 

9.096  062 

11 

.097  065 

12 

.098  066 

13 

.099  065 

14 

.100062 

i.S 

9.101  056 

16 

.102048 

17 

.103037 

18 

.104025 

19 

.105  010 

20 

9.105992 

21 

.106973 

22 

.107951 

23 

.108927 

24 

.109  901 

2S 

9.1 10  873 

26 

.111  842 

27 

.112809 

28 

•"3  774 

29 

•"4  737 

30 

9.1 15  698 

3i 

.116656 

32 

.117613 

33 

.118567 

34 

.119519 

35 

9.120469 

36 

.121417 

37 

.122  362 

38 

.123306 

39 

.124248 

40 

9.125  187 

4i 

.126  125 

42 

.  1 27  060 

43 

.127993 

44 

.128925 

45 

9.129854 

46 

.130  781 

47 

.131  706 

48 

.132630 

49 

•133  55i 

SO 

9-134  47° 

51 

•135  387 

52 

.136303 

53 

.137216 

54 

.138  128 

55 

9-139037 

5b 

.139  944 

57 

.140  850 

5« 

.141  754 

59 

.142  655 

60 

9-H3  555 

Cos, 


D.  1' 


17-13 
17.08 
17.05 
17.00 
16.97 

16.93 
16.88 
16.83 
16.82 
16.77 
16.72 
16.68 
16.65 
16.62 
16-57 

16-53 
16.48 
16.47 
16.42 
16.37 

16.35 
16.30 
16.27 
16.23 
16.20 
16.15 
16.12 
16.08 
16.05 
16.02 

15-97 
15-95 
15.90 
15.87 
15-83 
15.80 
15-75 
15-73 
i5-7o 
I5-65 

I5-63 
15.58 

15-55 
15-53 
15.48 

15-45 
15-42 
15.40 
15-35 
1532 
15.28 
15.27 
15.22 
15.20 
15-15 
15.12 
15.10 

1507 
15.02 
15.00 


Cos. 


9.996  75 1 
•996  735 
.996  720 
•996  7°4 
.996  688 

9.996  673 
•996657 
.996  641 
.996  625 
.996610 

9.996  594 
•996578 
.996  562 
.996  546 
•996  530 

9.996514 
.996  498 
.996  482 
•996  465 
•996  449 

9-996  433 
.996417 
.996  400 
•996  384 
•996  368 

9-996  351 
•996  335 
.996318 
.996  302 
.996  285 

9.996  269 
.996  252 
•996  235 
.996219 
.996  202 

9.996  185 
.996  168 
.996151 
.996  134 
.996117 

9.996  100 
.996083 
.996  066 
.996  049 
.996  032 

9.996015 
•995  998 
•995  98o 
•995  963 
•995  946 

9.995  928 
.995911 
•995  894 
•995  876 
•995  859 

9.995  841 
•995  823 
.995  806 
•995  788 
•995  771 

9-995  753 


D.  1". 


.27 
•25 
•27 
•27 
.25 

.27 
.27 
•27 

•25 

.27 

•27 
■27 
•27 
•27 
•27 
•27 
•27 
.28 

•27 
.27 

•27 
.28 

•27 
•27 
.28 

•27 

.28 

•27 
.28 

■27 
.28 

.28 

•27 
.28 
.28 
.28 
.28 
.28 
.28 
.28 
.28 

.28 

.28 

.28 

.28 

■30 
.28 
.28 
•30 
.28 
.28 
•30 
.28 
•30 
•30 
.28 
•30 
.28 
•30 


82° 


Tan. 


9.089  144 
.090  187 
.091  228 
.092  266 
.093  302 

9.094  336 
•095  367 
•096  395 
.097  422 
.098  446 

9.099  468 
.100487 
.101  504 
.102  519 
.103  532 

9.104  542 

•io5  55° 
.106  556 

•io7  559 
.108  560 

9-109  559 
.110  556 

•"i  55i 

•112 543 

•"3  533 

9.114521 

•"5  507 
.  1 1 6  49 1 
.117472 
.118452 

9.1 19  429 
.120404 
.121377 
.122348 
•123  317 

9.124  284 
.125  249 
.126  211 
.127172 
.128  130 

9.129087 
.130041 
.130994 
•  i3!944 
•132893 

9-I33  839 
.134784 
•135  726 
.136667 
•137605 

9.138542 
.139476 
.140409 
.141  340 
.142  269 

9.143  196 
.144121 
.145  044 
.145  966 
.146  8S5 

9-147803 
Cot. 


D.  1". 


17-38 
17-35 
I7-30 
17.27 
I7-23 
17.18 

i7-!3 
17.12 
17.07 
I7-03 
16.98 
16.95 
16.92 
16.88 
16.83 
16.80 

16-77 
16.72 
16.68 
16.65 
16.62 
16.58 

16.53 
16.50 
16.47 
16.43 
16.40 
16.35 
16.33 
16.28 

16.25 
16.22 
16.18 
16.15 
16.12 
16.08 
16.03 
16.02 
15-97 
15-95 
15.90 
15.88 

I5-83 
15.82 

15-77 
15-75 
1570 
15.68 

15-63 
15.62 

15-57 
15-55 
15.52 
15.48 
15-45 
I5-42 
I5-38 
15-37 
I5-32 
15.30 

D.  1". 


Cot, 


0.910  856 
•909813 
.908  772 
•907  734 
.906  698 

0.905  664 

•904  633 
.903  605 
.902  578 
•901  554 

0.900  532 
.899513 
.898  496 
.897481 
.896  468 

0.895  458 
.894  450 

•893  444 
.892441 
.891  440 
0.890  441 
.889  444 
.888  449 

.887457 
.886  467 

0.885  479 
•884  493 
.883  509 
.882  528 
.881  548 

0.880571 
•879  596 
.878  623 
.877652 
.876  683 

0.875  7i6 
•874  75 r 
•873  789 
.872828 
.871  870 

0.870913 
.869  959 
.869  006 
.868056 
.867  107 

0.866  161 
.865  216 
.864  274 
■863  333 
.862  395 

0.861  458 
.860524 
•859  591 
.858  660 
•857  73i 

0.856  804 
•855  879 
•854  956 
•854  034 
•853  "5 

0.852  197 

Tan. 


26     LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS- 

8° 


Sin. 


D.  1' 


Cos. 


D.l' 


Tan, 


D.  1". 


Cot. 


o   9 

H3  555 

i 

144  453 

2 

145  349 

3 

146  243 

4 

147  136 

5   9 

148026 

6 

148  915 

7 

149  802 

8 

150686 

9 

'S1  569 

io   9 

152  45i 

ii 

i53  33o 

12 

154  208 

13 

155  o83 

14 

155  957 

15   9 

156830 

16 

157  700 

17 

158569 

18 

159  435 

19 

160  301 

20    9 

161  164 

21 

162025 

22 

162885 

23 

163  743 

24 

164600 

25   9 

165454 

26 

166307 

27 

167  159 

28 

168008 

29 

168856 

30   9 

169  702 

31 

170  547 

32 

171  389 

33 

172230 

34 

173070 

35   9 

173908 

36 

174  744 

37 

175  578 

38 

1764" 

39 

177242 

40   9 

178072 

41 

178900 

42 

179726 

43 

180  551 

44 

181  374 

45    9 

182  196 

46 

183  016 

47 

183834 

48 

184  651 

49 

185  466 

50   9 

186280 

5i 

1 87  092 

52 

187903 

53 

188  712 

54 

189  519 

55   9 

190325 

56 

191  130 

57 

!9i  933 

58 

i92734 

59 

193  534 

60    9 

194  332 

Cos. 


14-97 
14-93 
14.90 
14.88 
14.83 
14.82 
14.78 
14-73 
14.72 
14.70 
14.65 
14.63 
14.58 
*4-57 
H-55 
14.50 
14.48 
14-43 
14-43 
14.38 

14-35 
14-33 
14.30 
14.28 
14.23 
14.22 
14.20 
I4-I5 
14-13 
14.10 

14.08 
14.03 
14.02 
14.00 
13-97 

13-93 
13.90 
13.88 
13-85 

13.80 
13-77 
»3-75 
13-72 
1370 
1367 
13-63 
13.62 
I3-58 
13-57 
13-53 
1352 
13.48 

>3-45 
13-43 
13.42 
I3-38 
'3-35 
13-33 
13-30 

D.  1". 


9-995  753 
•995  735 
•995  717 
•995  699 
.995  681 

9.995  664 
•995  646 
.995  628 

•995  6l° 
•995  59i 

9-995  573 
•995  555 
•995  537 
•995  5X9 
•995  5DI 

9.995  482 
•995  464 
•995  446 
•995  427 
•995  409 

9-995  39o 
•995  372 
•995  353 
•995  334 
.995316 

9-995  297 
•995  278 
.995  260 

•995  24i 
.995  222 

9.995  203 
•995  J84 
•995  l65 
•995  146 
•995  I27 

9.995  108 
•995  089 
•995  070 
.995051 

•995  032 

9.995013 
•994  993 
•994  974 
•994  955 
•994  935 

9.994916 
•994  896 
•994  877 
•994  857 
•994  838 

9.994  818 
•994  798 
•994  779 
•994  759 
•994  739 

9.994  720 
•994  700 
.994  680 
.994  660 
•994  640 

9.994  620 


30 
30 

3° 
30 

2S 
30 
3° 

SO 

3- 
30 
30 
30 
30 
30 
32 
30 
30 
32 
30 
3- 
30 
32 
32 
3° 
52 
32 
30 
32 
32 
32 
32 
32 
32 
32 
32 
32 
32 
32 
32 
32 
33 
32 
32 
33 
32 
33 
32 
33 
32 
33 

33 

32 

33 

33 
32 
33 
33 
33 
33 
33 

P.  1" 
81° 


9.147803 
.148718 
.149632 
■  150544 
•i5I454 

9152363 
.153269 
•154 174 
•155077 
•155  978 

9.156877 
•157  775 
•  158671 
•I59  5°5 
.160457 

9.161  347 
.162  236 
.163  123 
.164008 
.164  892 

9.165  774 
.166  654 
.167532 
.168409 
.169284 

9.170  157 
.171029 
.171  899 
.172767 
•173634 

9.174499 
.175362 
.176  224 
.177084 
.177942 

9.178799 
.179655 
.180508 
.181  360 
.182  211 

9.183059 
.183907 
.184752 

•!85  597 
.186439 

9.187280 
.188  120 
.188958 
.189  794 
.190629 

9.191  462 
.192294 
.193124 

•193  953 

.194780 

9.195606 

.196430 

•197253 

.19S074 

.198894 

9-J99  7I3 

Cot. 


!5-25 

15-23 

15.20 

15.17 
15-15 

15.10 

15.08 
15-05 

15.02 

14.98 

1497 
14.93 
14.90 
14.87 
14.83 

14.82 
14.78 

14-75 
14-73 
14.70 

14.67 
14.63 
14.62 
14.58 
H-55 

J4-53 
14.50 
14.47 
14.45 
14.42 
14.38 
14-37 
14-33 
14.30 
14.28 
14.27 
14.22 
14.20 
14.18 
14-13 

14-13 

14.08 
14.08 
14.03 
14.02 
14.00 
13-97 
13-93 
13.92 
13-88 
1387 
1383 
13.82 
1378 
»3-77 
13-73 
13-72 
13.68 
13-67 
13-65 

D.  1". 


0.852 197 

60 

.851 282 

59 

.850  368 

58 

.849  456 

57 

.848  546 

56 

0.847  637 

55 

.846731 

54 

.845  826 

53 

.844  923 

52 

.844022 

5i 

0.843  123 

50 

.842  225 

49 

.841 329 

48 

.840  435 

47 

•839  543 

46 

0.838  653 

45 

•837  764 

44 

.836877 

43 

•835  992 

42 

.835  108 

4i 

0.834  226 

40 

•833  346 

39 

.832  468 

38 

•831  59i 

37 

.830716 

36 

0.829  843 

35 

.828971 

34 

.828  101 

33 

•827  233 

32 

.826  366 

3i 

0.825  501 

30 

.824  638 

2q 

.823  776 

28 

.822  916 

27 

.822058 

26 

0.821  201 

25 

.820  345 

24 

.819492 

2.3 

.818640 

22 

.817789 

21 

0.816  941 

20 

.816093 

19 

.815  248 

18 

•814403 

17 

.813561 

16 

0.812  720 

15 

.811  8S0 

H 

.811  042 

1.3 

.810  206 

12 

.809371 

II 

0.808  538 

IO 

.807  706 

9 

.806  876 

8 

.806  047 

7 

.805  220 

6 

0.804  394 

5 

.803  570 

4 

.802  747 

3 

.801  926 

2 

.801  106 

1 

0.800  287 

0 

Tan. 


LOGARITHMIC   SINES, 


COSINES,   TANGENTS, 

9° 


AND   COTANGENTS.    27 


M. 

Sin. 

D.  1". 

Cos. 

D.  1". 

Tan. 

D.  1". 

Cot. 

o 

9-194  332 

13.28 
13-27 
I3-23 
1 2  20 

9.994  620 

■33 

9-199  7*3 

13.60    ° 

13.60 

13-57 

13-53 

13-52    0 

i3-5o 

13-47 

13-45 

13-43 

1340    o 

800287 

60 

i 

.195  129 

.994  600 

.200  529 

799471 

59 

2 

•195  925 

•994  580 

■33 

■33 
■33 
•35 
■33 
•33 
•33 
•35 
■33 
•33 
■35 
■33 
•35 
■33 

•201  345 

798  655 

58 

3 

.196719 

.994  560 

.202  159 

797  841 

57 

4 

•197  5" 

13-18 

13.I5 

I3-I3 
13.12 
13.08 
13-05 

•994  540 

.202971 

797  029 

56 

5 

9.198  302 

9-994  5  »9 

9.203  782 

796  218 

55 

6 

.199091 

•994  499 

.204  592 

795  408 

54 

7 

.199879 

•994  479 

.205  400 

794  600 

53 

8 

.200  666 

•994  459 

.206  207 

793  793 

52 

9 

.201  451 

•994  438 

.207013 

792  987 

5i 

IO 

9.202  234 

9.994418 

9.207817 

792  183 

5o 

ii 

.203  01 7 

x3-05 
13.00 

•994  398 

.208  619 

13-37 
13-35 
13-33 
13-30 
13.28 

79i  381 

49 

12 

13 

.203  797 
.204  577 

13.00 
12.95 
12.95 

•994  377 
•994  357 

.209  420 
.210  220 

790  580 
789  780 

48 
47 

14 

•205  354 

•994  336 

.211 018 

788  982 

46 

15 

9.206  131 

9.994316 

•35 
•35 
■33 
•35 
•35 
•35 

9-211815 

J      0 

788  185 

45 

16 

.206  906 

12.88 

•994  295 

.212  611 

'3-27 
1323 
13.22 
13-18 
I3.z8 

13-13 

787  389 

44 

17 

.207  679 

12.88 

•994  274 

.213405 

786  595 

43 

18 

.208  452 

12.83 

•994  254 

.214  198 

785  802 

42 

19 

.209  222 

12.83 

•994  233 

.214  989 

785  01 1 

4i 

20 

9.209  992 

12.80 

9.994212 

9.215  780 

7S4  220 

40 

21 

.210  760 

•994  191 

.216568 

783  432 

39 

22 
23 

24 

.211  526 
.212  291 

•213055 

12.77 
12.75 
12.73 
12.72 

12.68 
12.65 
12.65 
12.62 
12.58 
12.57 
12-55 
12.53 
12.50 
12.48 

•994  I71 
•994  150 
•994  129 

•33 

•35 
•35 
•35 
•35 
•35 
•35 
•35 
•35 
•35 

.217356 
.218  142 
.218  926 

I3-I3 
13.10 

13-07 
13.07    o 

1303 

13.00 

13.00 

12.97 

12.95 

12.92 

12.90 

12.88 

12.85 

12.85 

12.80    ° 

12.80 

12.77 

12.77 

12.72 

0 
12.72 

12.68 

7S2  644 
781  858 
781  074 

38 
37 
36 

25 

26 

9.213  818 

.214579 

9.994  108 
■994  087 

9.219  710 
.220  492 

780  290 
779  5°8 

35 
34 

27 

28 
29 

•215  338 
.216097 
.216  854 

.994  066 
•994  045 
•994  024 

.221  272 
.222052 
.222  830 

778728 
777  948 
777170 

33 
32 

3i 

30 

9.217  609 

9.994  003 

9.223  607 

776  393 

30 

31 

.218363 

•993  982 

.224  382 

775618 

29 

32 

33 
34 

.219  116 
.219868 
.220618 

•993  960 
•993  939 
.993918 

•37 
•35 
•35 
•35 
•37 
•35 
•37 
•35 
•37 
•35 
•37 
•35 
•37 
•37 
•35 
•37 

.225  156 
.225  929 
.226  700 

774  844 
774071 
773  3oo 

28 
27 
26 

35 
36 
37 

9.221  367 
.222  115 
.222  861 

12.47 
12.43 
12.42 
12.38 
12.38 

9-993  897 
•993  875 
•993  854 

9.227471 
.228  239 
.229007 

772  529 
771  761 
77o  993 

25 
24 
23 

38 
39 

.223  606 
•224  349 

•993  832 
.993811 

.229  773 
•230  539 

770  227 
769  461 

22 

21 

40 

9.225  092 

12.35 
12.33 
12.30 
12.28 
12.27 
12.23 
12.23 

9-993  789 

9.231  302 

768  698 

20 

41 

•225  833 

•993  768 

.232  065 

767  935 

19 

42 
43 
44 

.226  573 
.227311 

.228  048 

•993  746 
•993  725 
•993  7°3 

.232  826 
.233  586 
•234  345 

12.67 
12.65 
12.63 

1260    ° 

767  174 
766414 
765  655 

18 
17 
16 

45 

9.228  784 

9.993  681 

9.235  103 

764  897 

15 

46 

.229518 

.993  660 

•235  859 

12.58 

12.57 

12.53 

12.53    o 

12.50 

12.48 

12.45 

12.45 

12.42 

1240    ° 

764  141 

14 

47 

.230  252 

•993  638 

.236614 

763  386 

13 

48 
49 

.230  984 
•231  715 

12.18 
12.15 

.993616 
•993  594 

•37 
•37 
•37 
•37 

.237  368 
.238  120 

762  632 
761  880 

12 

11 

50 

9.232  444 

12.13 

9-993  572 

9.238  872 

761  128 

10 

5i 

•233  172 

•993  55° 

.239  622 

760  378 

9 

52 

•233  899 

' 

•993  528 

•37 
•37 
•37 
•37 

.240  371 

759  629 

8 

53 

.234  625 

12.07 
12.07 
12.03 
12.00 

•993  5°6 

.241  118 

758  882 

7 

54 

•235  349 

•993  484 

.241  865 

758  135 

6 

55 

9.236073 

9.993  462 

9.242  610 

757  39o 

5 

56 

•236  795 

•993  440 

•37 
•37 
•37 
•37 
•38 

•243  354 

12^8 
12.37 
12.33 
,2.33    o 

756  646 

4 

57 

•237 5J5 

.993418 

•244  097 

755  903 

3 

58 

•238  235 

11.97 
"•95 

•993  396 

•244  839 

755  l6j 

2 

59 

•238953 

•993  374 

•245  579 

754421 

1 

60 

9.239  670 

9-993  351 

9.246319 

753681 

0 

1 

Cos. 

D,  1". 

Sin. 

D.  1". 

Cot. 

D.  1". 

Tan. 

M. 

80° 


28      LOGARITHMIC   SINES,   COSINES,    TANGENTS,   AND   COTANGENTS. 

10° 


M. 

Sin, 

D.  1". 

Cos. 

D.  1". 

Tan. 

D.  1". 

Cot. 

■ 

0 

9.239  670 

"•93 
11.92 

11.88 
11.87 
11.85 

n.83 
n  82 

9-993  35 1 

•37 
•37 
■38 
•37 
•37 
•38 
•37 
•38 

9.246319 

12.30 

12.28 

0.753  681 

60 

i 

.240  386 

•993  329 

•247057 

•752  943 

59 

2 

.241  101 

•993  3°7 

•247  794 

.752  206 

58 

3 

.241  814 

•993  284 

.248  530 

12.27 

•75 1  47° 

57 

4 

.242  526 

•993  262 

.249  264 

12.23 
12.23 
12.20 

•75°  736 

56 

5 

9-243  237 

9.993  240 

9.249998 

0.750  002 

55 

6 

•243  947 

.993217 

•250  730 

12.18 

•749  270 

54 

7 

.244  656 

11.78 
11.77 
11.77 
11.72 
11.72 
11.70 
11.67 
11.65 

•993  195 

.251461 

12.17 
12.15 
12.13 

•748  539 

53 

8 

•245  363 

.993172 

.252  191 

•747  809 

52 

9 

.246069 

•993  149 

■3° 

■37 
•38 
•38 

.252920 

.747  080 

5i 

IO 

9.246  775 

9-993  127 

9.253  648 

0.746  352 

5° 

ii 

.247  478 

•993  i°4 

•254  374 

12.10 

.745  626 

49 

12 

.248  181 

.993081 

.255  100 

.744900 

48 

13 

.248  883 

•993  059 

•37 
.38 
•38 

.255  824 

12.07 
12.05 
12.03 

.744176 

47 

14 

.249  583 

■993  036 

•256  547 

•743  453 

46 

15 

9.250  282 

11.63 
11.62 

9-993  0I3 

•38 

^8 

9.257  269 

0.742  731 

45 

16 

.250  980 

.992  990 

.257990 

1200 

.742010 

44 

17 

.251677 

11.60 

•992  967 

^8 

.258710 

11.98 
11.95 
"•95 

.741  290 

43 

18 

•252  373 

"•57 
11.57 

"•53 
11.52 
11.50 
11.48 
11.47 
11.45 
11.42 
11.42 
".38 
"•37 
"•35 
^■33 

•992  944 

•j<j 
•38 
•38 
•38 
•38 
iR 

.259429 

•740  57I 

42 

19 

20 

.253067 
9.253  761 

.992  921 
9.992  898 

.260  146 
9.260  863 

•739  854 
0-739  137 

41 
40 

21 

•254  453 

•992875 

.261  578 

11.90 
11  88 

.7384:2 

39 

22 

.255  144 

.992  852 

.262  292 

•737  70S 

38 

23 

•255  834 

.992829 

•3° 

.38 
•38 

.263  005 

11:87 
11.85 

".83 
11.82 

•736  995 

37 

24 

.256523 

.992  806 

.263717 

•736  283 

36 

25 

9.257  211 

9.992  783 

9.264428 

0-735  572 

35 

26 

.257898 

•992  759 

.40 
•38 
•38 
•38 
.40 

•38 

.265  138 

•734  862 

34 

27 

.258  583 

•992  736 

.265  847 

11.80 

•734  153 

33 

28 

.259  268 

.992713 

.266555 

11.77 
11.77 

•733  445 

32 

29 

•259  951 

.992  690 

.267  261 

•732  739 

3i 

30 

9.260  633 

9.992  666 

9.267967 

o-732  033 

30 

31 

.261  314 

•992  643 

.268671 

"•73 

•731  329 

29 

32 

.261  994 

.992619 

.40 

•38 

•269  375 

"•73 
11.70 
1 1  70 

•730  625 

28 

33 

.262  673 

1 1.32 
11.30 
11.27 

.992  596 

■40 
•38 

.270077 

.729  923 

27 

34 

•263  351 

.992  572 

•270  779 

11.67 

.729221 

26 

35 

9.264027 

11.27 
11.23 
11.23 
1 1.20 

9.992  549 

9.271479 

11.65 
".63 
11.62 

0.728521 

25 

36' 

.264  703 

.992  525 

.40 
.40 
•38 
.40 
.40 

.272  178 

.727822 

24 

37 

.265  377 

.992  501 

.272876 

.727 124 

23 

38 

.266051 

•992  478 

•273  573 

1 1 .60 

.726427 

22 

39 

.266  723 

11.20 

•992  454 

.274  269 

11.58 
"•57 

•725  73i 

21 

40 

9-267  395 

11. 17 
11. 15 
11. 13 

9.992  430 

.40 

9.274  964 

0.725036 

20 

4i 

.268  065 

.992  406 

•275  658 

•724  342 

19 

42 

•268  734 

.992  382 

.40 
78 

•276  35  J 

"•55 
"•53 

.723  649 

18 

43 

.269  402 

•992  359 

o° 

.277043 

.722957 

17 

44 

.270069 

11. 10 

•992  335 

.40 

.40 

•277  734 

11.52 
11.50 
11.48 
11.47 

"•45 
"•43 
11.40 

.722  266 

16 

45 

9-270  735 

11.08 

9.992  311 

.40 

9.278424 

0.721  576 

15 

46 

.271  400 

11.07 
11.03 
11.03 
11.02 

.992  287 

.279113 

.720  8S7 

14 

47 

.272  064 

.992  263 

.40 
.40 

.279  801 

.720  199 

13 

48 

.272726 

•992  239 

.280  488 

•719512 

12 

49 

.273  338 

.992214 

.42 
.40 

.281  174 

.718  826 

11 

50 

9.274049 

10.98 
10.98 
10.97 

10.93 
10.93 

10.90 
10.90 
10.87 
10.85 
10.85 

9.992  190 

9.281  858 

11.40 
".38 
"•37 
"•35 
11.33 

0.718  142 

10 

51 

.274  708 

.992  166 

.40 
.40 
.40 

.42 
.40 

.282  542 

.71745s 

9 

52 
53 

•275  367 
.276025 

.992 142 
.992118 

.283  225 
.283  907 

.716775 
.716093 

8 
7 

54 

.276681 

.992  093 

.284  588 

.715412 

6 

55 

9-277  337 

9.992  069 

.42 

9.285  268 

11.32 
11.28 

0.714732 

5 

56 

.277991 

.992  044 

.285  947 

■7H°53 

4 

57 

.278  645 

.992  020 

.40 
.40 
.42 
.40 

.2S6624 

11.28 

•713  376 

3 

58 

-279  297 

.991  996 

.287  301 

11.27 
11.25 

.712699 

2 

59 

•279  948 

.991 971 

.287977 

.712023 

1 

60 

9.280  599 

9.991  947 

9.288652 

0.71 1  348 

0 

Cos. 

D.  1". 

Sin. 

D.  1". 

Cot. 

D.  1". 

Tan, 

M. 

79c 


LOGARITHMIC    SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.      29 

11° 


Sin. 


D,  1". 


Cos, 


D.  1". 


Tan. 


D.  1' 


Cot. 


o 

9.2S0  599 

I 

.281  248 

2 

.281  897 

3 

.282  544 

4 

.283  190 

S 

9.283  836 

6 

.284  480 

7 

.285  124 

8 

.285  766 

9 

.286  408 

IO 

9.287  048 

ii 

.287  688 

12 

.288  326 

1.3 

.288  964 

14 

.289  600 

15 

9.290  236 

16 

.290  870 

*7 

.291  504 

18 

.292  137 

19 

.292  768 

20 

9-293  399 

21 

.294  029 

22 

.294  658 

23 

.295  286 

24 

.295  913 

25 

9.296  539 

26 

..297  164 

27 

.297  788 

28 

.298412 

29 

.299  034 

30 

9-299  655 

3i 

.300  276 

32 

.300  895 

33 

.301  514 

34 

.302  132 

35 

9.302  748 

36 

•303  364 

37 

•303  979 

3« 

•304  593 

39 

.305  207 

40 

9.305  819 

4i 

.306  430 

42 

.307041 

43 

.307  650 

44 

.308  259 

45 

9.308867 

4b 

•309  474 

47 

.310080 

48 

.310685 

49 

.311  289 

5° 

9-3"893 

5i 

•312  495 

52 

•313  097 

53 

.313698 

54 

•3H297 

55 

9.314897 

5b 

•315  495 

57 

.316092 

58 

.316689 

59 

.317284 

60 

9-3I7  879 

10.82 
10.82 
10.78 
10.77 
10.77 

10.73 
10.73 

10.70 
10.70 
10.67 
10.67 

10.63 
10.63 

10.60 
10.60 

10.57 
10.57 
10.55 

10.52 
10.52 
10.50 
10.48 

10.47 
10.45 
10.43 

10.42 
10.40 
10.40 

10.37 
10.35 

10.35 
10.32 

10.32 

10.30 
10.27 
10.27 
10.25 
10.23 
10.23 
10.20 

10.18 
10.18 
10.15 
10.15 

10.13 

10.12 
IO.IO 
10.08 
10.07 
10.07 
10.03 
10.03 
10.02 

9.98 

10.00 

9-97 
9-95 
9-95 
9.92 
9.92 

D.  1". 


9.991  947 
.991  922 
.991  897 
•99i  873 
.991  848 

9.991  823 
.991  799 
.991  774 
.991  749 
.991  724 

9.991  699 
.991  674 
.991  649 
.991  624 
.991  599 

9-991  574 
.991  549 
.991  524 
.991  498 
•99i  473 

9.991  448 
.991  422 

•99i  397 
.991  372 
.991  346 

9.991  321 
.991  295 
.991  270 
.991  244 
.991  218 

9.991  193 
.991  167 
.991  141 
.991  115 
.991  090 

9.991  064 
.991  038 
.991  012 
.990  986 
.990  960 

9-99Q  934 
.990  908 
.990  882 
•990  855 
.990  829 

9.990  803 
.990  777 
.990  750 
•990  724 
•990  697 

9.990671 
•990  645 
.990618 
•990  59i 
.990  565 

9.990  538 
.990511 
.990  485 
•990  458 
.990431 

9.990  404 


.42 

.42 
.40 
.42 
.42 
.40 
.42 
.42 
.42 
.42 
.42 
.42 
.42 
.42 
.42 
.42 
.42 

•43 
.42 
.42 

•43 
•42 
.42 

•43 
.42 

•43 
.42 

•43 
•43 

.42 

•43 
•43 
•43 
.42 

•43 
•43 
•43 
•43 
•43 
•43 
•43 
•43 
•45 
■43 
•43 
•43 
•45 
•43 
•45 
•43 
•43 
•45 
•45 
•43 
•45 
•45 
•43 
•45 
•45 
•45 

P.  1" 

78° 


9.288652 
.289  326 
•289  999 
.290  671 
.291  342 

9.292013 
.292  682 

•293  35° 
.294017 
.294  684 

9-295  349 
.296013 
.296  677 

•297  339 
.298001 

9.298  662 
.299  322 
.299  980 
•300  638 
.301  295 

9.301  951 
.302  607 
.303  261 
•303  914 
•304  567 

9.305  218 
.305  869 
.306519 
.307 168 
.307  816 

9.308  463 
•3°9  109 
•309  754 
•310399 
.311 042 

9.31 1  685 
.312327 
.312968 
.313608 
•314247 

9.314885 
•315523 
•316  159 
•316795 
•317430 

9.318064 
.318697 
•319330 
.319961 
■320  592 

9.321  222 
.321851 
•322  479 
.323  106 

•323  733 
9-324  358 
•324  983 
•325  607 
.326  231 
•326853 

9-327  475 
Cot. 


1.23 
1.22 
1.20 
1. 18 
1. 18 

115 
113 
1.12 
1. 12 

1.08 
1.07 
1.07 
1.03 
1.03 
1.02 
1. 00 
0.97 
o-97 
o.95 
o.93 

o.93 
0.90 


0.85 
0.85 
0.83 
0.82 
0.80 
0.78 
0.77 

o-75 
0.75 
0.72 
0.72 
0.70 
0.68 
0.67 
0.65 
0.63 
0.63 
0.60 
0.60 
0.58 
°-57 
o.55 
°-55 
0.52 
0.52 
0.50 
0.48 
0.47 
o-45 
0.45 
0.42 
0.42 
0.40 
0.40 
o-37 
o.37 

D.  1". 


0.71 1  348 
.710674 
.710001 
.709  329 
.708  658 

0.707  987 
.707318 
.706  650 

•705  983 
.705  316 

0.704651 
.703  987 

•7°3  323 
.702  661 
.701  999 

0.701  338 
.700678 
.700020 
.699  362 
.698  705 

0.698  049 

•697  393 
.696  739 
.696  086 
•695  433 

0.694  782 
.694  131 
.693481 
.692  832 
.692  184 

0.691  537 
.690  891 
.690  246 
.689  601 
.688  958 

0.688315 
.687  673 
.687  032 
.686  392 
•685  753 

0.685  "5 
.684  477 
.683841 
.683  205 
.682  570 

0.681  936 
.681  303 
.680  670 
.680  039 
.679  408 

0.678  778 
.678  149 
.677521 
.676  894 
.676  267 

0.675  642 
.675017 
•674  393 
.673  769 
•673  147 

0.672  525 

Tan. 


30     LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

12° 


Sin. 


9-3I7  879 
•318  473 
.319066 
.319658 
,320  249 

9.320  840 
.321  430 
.322019 
.322  607 
•323  194 

9.323  780 
.324  366 
.324  950 
.325  534 
.326  117 

9.326  700 
.327  281 
.327  862 
.328442 
.329  021 

9-329  599 
.330176 
•330  753 
.331  329 
>33l  903 

9-332  478 
•333  05 ! 
•333  624 
•334  195 
•334  767 

9-335  337 
•335  906 
•336  475 
•337  043 
•337  610 

9-338  176 
.338  742 
•339  307 
.339  871 
•340  434 

9.340  996 
•34i  558 
.342119 
•342  679 
•343  239 

9-343  797 
•344  355 
.344912 
•345  469 
.346  024 

9-346  579 
•347  J34 
•347  687 
.348  240 
.348  792 

9-349  343 
•349  893 
•35°  443 
.350  992 

•35 '  540 

9352  088 

Cos. 


D.  1". 


9.90 
9.88 
9.87 
9-85 
9-85 
9-83 
9.82 
9.80 
9.78 
9-77 
9-77 
9-73 
9-73 
9.72 
9.72 
9.68 
9.68 
9.67 
9.65 
9-63 
9.62 
9.62 
9.60 
9-57 
9-58 
9-55 
9-55 
9-52 
9-53 
9.50 

9.48 
948 
9-47 
9-45 
943 

9-43 
9.42 
9.40 
9.38 
9-37 
9-37 
9-35 
9-33 
9-33 
9-30 
9-30 
9.28 
9.28 
9-25 
9.25 

9-25 
9.22 
9.22 
9.20 
9.18 
9.17 
9.17 
915 
9-13 
9-13 

D.  1". 


Cos. 


9.990  404 
■990  378 
990351 
•990  324 
•990  297 

9.990  270 
.990  243 
.990  215 
.990  188 
.990  161 

9.990134 
.990  107 
.990  079 
.990052 
.990  025 

9.989  997 
•989  970 
.989  942 
.989915 
.989  887 

9.989  860 
.989  832 
.989  804 

.989  777 
.989  749 

9.989  721 
.989  693 
.989  665 
.989  637 
.989  610 

9.989  582 
•989  553 
.989  525 
•989  497 
.989  469 

9.989  441 
.989413 
.989  385 
.989  356 
.989  328 

9.989  300 
.989271 
.989  243 
.989  214 
.989  186 

9-989  157 
.989  128 
.989  100 
.989071 
.989  042 

9.989014 
.988  985 
.988  956 
.988  927 
.988  898 

9.988  869 
.988  840 
.988811 
.988  782 
.988  753 

9-988  724 
Sin. 


D.  1' 


43 
•45 
•45 
•45 
•45 
•45 
•47 
•45 
•45 
■45 
•45 
•47 
•45 
•45 
•47 
•45 
•47 
•45 
•47 
•45 
•47 
•47 
•45 
•47 
•47 
•47 
•47 
•47 
•45 
•47 
.48 
•47 
•47 
•47 
•47 
•47 
•47 
.48 
-47 
•47 
.48 
•47 
.48 
•47 
.48 

.48 
•47 
.48 
.48 
•47 
.48 
.48 
.48 
.48 
.48 
.48 
.48 
.48 
.48 


D.l' 
770 


Tan. 


9-327  475 
.328  095 

•328715 
•329  334 
•329  953 

9-330  570 
•331  187 
.331  803 
•332  418 
•333  033 

9-333  646 
•334  259 
•334  871 
•335  482 
•336093 

9.336  702 
•337  3" 
•337  919 
•338  527 
•339  133 

9-339  739 
•340  344 
.340  948 
•341  552 
•342  155 

9-342  757 
•343  358 
•343  958 
•344  558 
•345  '57 

9-345  755 
•346  353 
.346  949 
•347  545 
.348  141 

9-348  735 
•349  329 
•349  922 
•35°  5H 
.351  106 

9-35 l  697 
•352  287 
.352876 
•353  465 
.354  053 

9.354  640 
•355  227 
.355  813 
.356  398 
•356982 

9-357  566 
.358  149 
.358  731 
•359  313 
•359  893 

9.360  474 
.361  053 
.361  632 
.362  210 
.362  7S7 

9363  364 
Cot. 


D.  1". 


10.33 

10.33 

10.32 

10.32 

10.28 

10.28 

10.27 

10.25 

10.25 

10.22 

10.22 

10.20 

10.18 

10.18 

10.15 

10.15 

10.13 

10.13 

10.10 

10.10 

10.08 

10.07 

10.07 

10.05 

10.03 

10.02 

10.00 

10.00 

9.98 

9-97 

9-97 

9-93 

9-93 

9-93 

9.90 

9.90 

9.88 

9.87 

9.87 

9-85 

9-83 
9.82 
9.82 
9.80 
9.78 
9.78 
9-77 
9-75 
9-73 
9-73 
9.72 
9.70 
9.70 
9.67 
9.68 
9.65 
9-65 
9-63 
9.62 
9.62 

D.  1". 


Cot, 


0.672  525 
.671  905 
.671  285 
.670  666 
.670  047 

0.669  43° 
.668813 
.668  197 
.667  582 
.666  967 

0.666  354 
.665  741 
.665  129 
.664518 
.663  907 

0.663  298 
.662  689 
.662081 
.661  473 
.660  867 

0.660  261 
.659656 
.659052 
.658448 
.657  845 

0.657  243 
.656  642 
.656  042 
.655  442 
.654  843 

0.654  245 

•653  647 
.653051 

.652455 
.651859 

0.651  265 
.650  671 
.650078 
.649  486 
.648  894 

0.648  303 

.647  7'3 
.647  124 
.646  535 
.645  947 

0.645  360 
•644  773 
.644  187 
.643  602 
.643018 

0.642  434 
.641  851 
.641  269 
.640  687 
.640  107 

0.639  526 
.638  947 
.638  368 
•637  790 
.637213 

0.636  636 

Tan. 


LOGARITHMIC    SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.      81 

13° 


M. 


D.  1". 


Cos. 


D.  1". 


Tan. 


D.  1". 


Cot. 


9.35208b 
•352  635 
•353  181 
•353  726 
•354  271 

9-354  8I5 
•355  358 
•355  901 
•356443 
.356  984 

9-357  524 
.358064 
.358  603 
•359  Hi 
•359  678 

9.360215 
.360  752 
.361  287 
.361  822 
.362  356 

9.362  889 
.363422 

•363  954 
.364  485 
.365016 

9-365  546 
.366075 
.366  604 
•367  131 
•367  659 

9.368  185 
.368711 
.369  236 
.369  761 
.370  285 

9.370  808 
•37i  330 
•37i  852 
•372  373 
.372  894 

9-373  414 
•373  933 
•374  452 
•374  970 
•375  487 

9.376003 
•376  5J9 
•377  035 
•377  549 
.378  063 

9-378  577 
•379  089 
.379  601 
.380  113 
.380  624 

9-38i  134 
.381  643 
.382  152 
.382  661 
•383  168 

9-383  675 
Cos. 


9.12 
9.10 
9.08 
9.08 
9.07 

905 

9-05 
903 
9.02 
9.00 
9.00 
8.98 
8.97 
8-95 
8.95 

8.95 
8.92 
8.92 
8.90 
8.88 
8.88 
8.87 
8.85 
8.85 
8.83 
8.82 
8.82 
8.78 
8.80 
8.77 
8.77 
8.75 
f-75 
8-73 
8.72 

8.70 
8.70 
8.68 
8.68 
8.67 
8.65 
8.65 
8.63 
8.62 
8.60 
8.60 
8.60 
8-57 
8.57 
8.57 

8-53 
8-53 
8-53 
8.52 
8.50 
8.48 
8.48 
8.48 
8.45 
8-45 

D.  1". 


9.988  724 
.988  695 
.988  666 
.988  636 
.988  607 

9.988  578 
.988  548 
.988519 
.988  489 
.988  460 

9.988  430 
.988  401 

.988371 
.988  342 
.988312 
9.988  282 
.988  252 
.988  223 
.988  193 
.988  163 

9-988  133 
.988  103 
.988  073 
.988  043 
.988013 

9.987  983 

.987  953 
.987  922 
.987  892 
.987  862 

9.987  832 
.987  801 
.987  771 
•987  740 
.987  710 

9.987  679 
.987  649 
.987  618 
.987  588 
•987  557 

9.987  526 
.987  496 
.987  465 
•987  434 
•987  403 

9.987  372 

•987  341 
.987  310 
.987  279 
.987  248 

9.987217 
.987  186 
.987  155 
.987  124 
.987  092 

9.987  061 
.987  030 
.986  998 
.986  967 
.986  936 

9.986  904 
Sin. 


48 
.48 

50 
48 
.48 

5° 

4S 

5° 
4S 

50 

4s 

50 
4s 

50 
50 

5° 
4S 

5° 

50 
5° 
5° 

50 
5° 
5° 
50 
5° 
S^ 
50 
5° 
5° 
52 
50 
52 
5° 
52 

50 
52 
50 
52 
52 
50 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
52 
53 
52 
52 
53 
52 
52 
53 

D,  1". 

76? 


9.363  364 
•363940 

•364  5J5 
.365  090 
.365  664 
9-366  237 
.366810 
.367  382 

•367  953 
.368  524 

9.369  094 
•369  663 
.370  232 
•37°  799 
•371  367 

9-371  933 
•372  499 
•373  064 
•373  629 
•374  193 

9-374  756 
•375  319 
•375  881 
.376442 

•377  003 

9-377  563 
.378122 
.378  681 
•379  239 
•379  797 

9.380  354 
.380910 
.381  466 
.382  020 
•382  575 

9383  129 
.383  682 
•384  234 
.384  786 
•385  337 

9.385  888 
.3S6438 
.386987 
.387  536 
.388  084 

9.388  631 
.389  178 
.389  724 
.390  270 
.390815 

9.391  360 
•391  903 
•392  447 
.392  989 
•393  53i 

9-394  073 
.394614 
•395  154 
•395  694 
•396  233 

9396  771 
Cot. 


9.60 
9-58 
9.58 
9-57 
9-55 
9-55 
9-53 
9-52 
9.52 
9.50 
9.48 
9.48 
9-45 
9-47 
9-43 

9-43 
9.42 
9.42 
9.40 
9-38 
9.38 
9-37 
9-35 
9-35 
9-33 
9-32 
9-32 
9-30 
9-30 
9.28 
9.27 
9.27 
9-23 
9-25 
9-23 
9.22 
9.20 
9.20 
9.18 
9.18 
9.17 
915 
9.15 
9-13 
9.12 

9.12 
9.10 
9.10 

9.08 
9.08 

9-°5 
9.07 

9-03 
903 
903 
9.02 
9.00 
9.00 
8.98 
8-97 

D.  1". 


0.636  636 
.636  060 

.635  485 
.634910 
•634  336 

0.633  763 
•633  190 
.632618 
.632  047 
.631  476 

0.630  906 
•630  337 
.629  768 
.629  201 
.628  633 

0.628  067 
.627  501 
.626  936 
.626  371 
.625  807 

0.625  244 
.624  681 
.624  119 
.623  558 
.622  997 

0.622  437 
.621  878 
.621  319 
.620  761 
.620  203 

0.619  646 
.619090 
.618534 
.617  980 
.617425 

0.616  871 
.616318 
.615  766 
.615  214 
.614  663 

O.614  112 
.613  562 
.613013 
.612464 
.611 916 

0.61 1  369 
.610822 
.610  276 
.609  730 
.609  185 

0.608  640 
.608  097 
•607  553 
.607011 
.606  469 

0.605  927 
.605  386 
.604  846 
.604306 
.603  767 

0.603  229 
Tan. 


32     LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

14° 


D.  1' 


Cos. 


D.  1' 


Tan. 


D,  1". 


Cot. 


o 

9383  675 

I 

.384182 

2 

.384  687 

3 

.385  192 

4 

.385  697 

5 

9.386  201 

6 

.386  704 

7 

.387  207 

8 

.387  709 

9 

.388210 

IO 

9.388  711 

ii 

.389211 

12 

•389  7" 

1.3 

.390  210 

14 

.390  708 

15 

9.391  206 

ib 

•391  703 

17 

.392  199 

18 

.392  695 

19 

•393  191 

20 

9-393  685 

21 

•394  179 

22 

•394  673 

23 

•395  166 

24 

•395  »58 

2S 

9.396  150 

26 

.396  641 

27 

■397 132 

28 

■397  621 

29 

.398  in 

3° 

9.398  600 

31 

.399  088 

32 

•399  575 

33 

.400  062 

34 

.400  549 

35 

9.401  035 

36 

.401  520 

37 

.402  005 

38 

.402  489 

39 

.402  972 

40 

9403  455 

4i 

•403  938 

42 

.404  420 

43 

.404  901 

44 

.405  382 

45 

9.405  862 

46 

.406  341 

47 

.406  820 

48 

.407  299 

49 

.407  777 

SO 

9.408  254 

51 

.408  731 

52 

.409  207 

53 

.409  682 

54 

.410  157 

55 

9.410632 

56 

.411  106 

57 

.411579 

5« 

.412052 

59 

.412524 

60 

9.412996 

Cos. 


8-45 
8.42 
8.42 
8.42 
8.40 
8.38 
8.38 
8-37 
8-35 
8-35 
8-33 
8-33 
8.32 
8.30 
8.30 
8.28 
8.27 
8.27 
8.27 
8.23 
8.23 
8.23 
8.22 
8.20 
8.20 
8.18 
8.18 
8.15 
8.17 
8.15 

8.13 
8.12 


8.08 
8.08 
8.07 
8.05 
8.05 
8.05 
8.03 
8.02 
8.02 
8.00 
7.98 
7.98 
7.98 
7-97 
7-95 
7-95 
7-93 
7.92 
7.92 
7.92 
7.90 
7.88 
7.88 
7.87 
7.87 

D.  1". 


9.986  904 
.986  873 
.986  841 
.986  809 
.986  778 

9.9S6  746 
.986  714 
.986  683 
.986651 
.986  619 

9.986  587 
•986  555 
.986  523 
.986491 
.986  459 

9.986  427 
.986  395 
.986  363 
.986331 
.986  299 

9.986  266 
.986  234 
.986  202 
.986  169 
•986  137 

9.986  104 
.986  072 
.986  039 
.986  007 
.985  974 

9.985  942 
.985  909 
•985  876 
•985  843 
.985811 

9.985  778 
•985  745 
•985  712 
•985  679 
.985  646 

9.985613 
.985  580 
•985  547 
•985  5*4 
.985  480 

9-985  447 
.985  414 
•985  38i 
•985  347 
•985  3H 

9.985  280 
•985  247 
•985213 
.985  180 
.985  146 

9.985  113 
•985  079 
•985  045 
.985011 
.984  978 

9.984  944 


•52 
•53 
•53 

•52 
•53 

•53 
.52 

•53 

•53 
•53 
•53 
•53 
•53 
•53 
•53 
•53 
•53 
•53 
•53 
•55 
•53 
■53 
•55 
•53 
•55 
•53 
•55 
•53 
•55 
•53 
•55 
•55 
•55 
•53 
•55 
•55 
•55 
•55 
•55 
•55 
•55 
•55 
•55 
•57 
•55 
•55 
•55 
•57 
•55 
•57 
•55 
•57 
•55 
•57 
•55 
•57 
•57 
•57 
•55 
■57 

75° 


9.396  771 
•397  309 
•397  846 

•398  3^3 
.398919 

9-399  455 
•399  99° 
.400  524 
.401  058 
.401  591 

9.402  124 
.402  656 
.403  187 
.403  718 
.404  249 

9.404  778 
.405  308 
.405  836 
.406  364 
.406  892 

9.407419 
.407  945 
.408471 
.408  996 
.409  521 

9.410  045 
.410569 
.411  092 
.411615 
.412  137 

9.412  658 

•413  179 
.413699 
.414219 
.414  738 

9415  257 
415  775 
.416293 
.416810 
.417326 

9.417842 
.418358 
.418873 
.419387 
.419901 

9.420415 
.420  927 
.421  440 
.421  952 
.422  463 

9.422  974 
.423  484 

423  993 
.424  503 
.425  01 1 

9425  5 !9 
.426  027 
.426  534 
.427  041 
427  547 

9.428052 

Got. 


8.97 
8-95 
8-95 
8-93 
8-93 
8.92 
8.90 
8.90 


8.87 
8.85 
8.85 
8.85 
8.82 
8.83 
8.80 
8.80 
8.80 
8.78 
8.77 
8-77 
8-75 
8-75 
8-73 

8.73 
8.72 
8.72 
8.70 
8.68 
8.68 
8.67 
8.67 
8.65 
8.65 
8.63 
8.63 
8.62 
8.60 
8.60 
8.60 
8.58 

8-57 
8.57 

8-57 
8-53 
8-55 
8-53 
8.52 
8.52 
8.50 
8.48 
8.50 
8.47 
8.47 
8.47 
8-45 
8.45 
8-43 
8.42 

D.  1". 


603  229 
602  691 
602  154 
601  617 
601  081 
600  545 
600010 
599476 
598  942 
598  409 

597  876 
597  344 
596813 
596282 
595  75 1 
595  222 
594  692 
594  164 
593  636 
593  108 
592  581 
592055 
59i  529 
591004 

590  479 
589  955 
589431 
588  908 
588  385 
587  863 

587  342 
586821 
586  301 
585  7Si 
585  262 
584  743 
584  225 
583  7°7 
583  190 
582  674 
582  158 
581  642 
581  127 
580613 
580  099 

579  585 
579  073 
578  56° 
578048 

577  537 
577026 
576516 
576007 
575  497 
574  989 
574  48i 
573  973 
573  466 
572  959 
572  453 
571  948 
Tan. 


LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

15° 


AND   COTANGENTS.    33 


M. 


Sin. 


D.l' 


Cos. 


D.  1". 


Cot. 


o 

9.412996 

I 

•413  467 

2 

•413  938 

3 

.414408 

4 

.414878 

5 

9415  347 

b 

.415815 

7 

.416  283 

8 

.416751 

9 

.417217 

10 

9.417684 

ii 

.418  150 

12 

.418615 

13 

.419079 

14 

.419544 

15 

9.420  007 

ib 

.420  470 

17 

•420  933 

18 

•421  395 

19 

.421  857 

20 

9.422318 

21 

.422  778 

22 

.423  238 

23 

.423  697 

24 

.424156 

25 

9.424615 

2b 

.425  073 

27 

.425  530 

28 

.425  987 

29 

.426  443 

30 

9.426  899 

31 

•427  354 

32 

.427  809 

33 

.428  263 

34 

.428717 

35 

9.429170 

36 

.429  623 

37 

.430075 

3» 

•430  527 

39 

.430  978 

40 

9-431  429 

4i 

431  879 

42 

432  329 

43 

432  778 

44 

433  226 

45 

9433  675 

4b 

434  122 

47 

434  569 

48 

.435016 

49 

435  462 

5o 

9.435  908 

5i 

436  353 

52 

.436  798 

53 

437  242 

54 

437  686 

55 

9.438  129 

56 

438  572 

57 

.439014 

58 

439  456 

59 

439  897 

60 

9-440  338 

Cos. 


7.85 
7.85 
7-83 
7-83 
7.82 

7.80 
7.80 
7.80 

7-77 
7.78 

7-77 
7-75 
7-73 
7-75 
7.72 

7.72 
7.72 
7.70 
7.70 
7.68 
7.67 
7.67 
7-65 
7-65 
7.65 

7-63 
7.62 
7.62 
7.60 
7.60 

7.58 
7-58 
7-57 
7-57 
7-55 
7-55 
7-53 
7-53 
7-52 
7-52 
7.50 
7-5° 
748 
747 
7.48 

745 
745 
745 
743 
743 
7.42 
7.42 
7.40 
7.40 
7-38 
7-38 
7-37 
7-37 
7-35 
7-35 

D.  1". 


9.984  944 
.984910 
.984  876 
.984  842 
.984  808 

9.984  774 
•984  740 
.984  706 
.984  672 
.984  638 

9.984  603 
.984  569 

•984  535 
.984  500 
.984  466 

9.984  432 
•984  397 
•984  363 
.984  328 
.984  294 

9.984  259 
.984  224 
.984  190 

•984  155 
.984  120 

9.984  085 
.984  050 
.984015 
.983  981 
•983  946 

9.983  91 1 
•983  875 
.983  840 
.983  805 
•983  770 

9-983  735 
.983  700 
.983  664 
•983  629 
•983  594 

9-983  558 
•983  523 
.983  487 
•983  452 
.983416 

9-983  381 
•983  345 
•983  3°9 
•983  273 
■983  238 

9.983  202 
.983  166 
•983  130 
•983  094 
.983  058 

9.983  022 
.982  986 
.982  950 
.982914 
.982  878 

9.982  842 


D.  1". 

74° 


9.428052 
•428  558 
.429  062 
.429  566 
.430  070 

9430  573 
431 075 

431 577 
.432  079 
•432  580 
9.433  080 
•433  580 
•434  080 
•434  579 

435  078 
9435  576 

436  073 
.436  570 

437  067 

437  563 
9.438  059 

438  554 

439  048 
439  543 
.440  036 

9.440  529 
.441  022 
.441  514 
.442  006 
.442  497 

9.442  988 
•443  479 
443  968 
•444  458 
•444  947 

9.445  435 

•445  923 
.446411 
.446  898 
•447  384 

9.447  870 
448  356 
.448  841 
•449  326 
.449  810 

9.450  294 
.450  777 
.451  260 
45 1  743 
•452  225 

9.452  706 
453  187 

453  668 

454  148 
.454  628 

9455  io7 
•455  586 
.456  064 
•456  542 
.457019 

9457  496 
Cot. 


843 
8.40 
8.40 
8.40 
8.38 

8-37 
8-37 
8-37 
8-35 
8-33 
8-33 
8-33 
8.32 
8.32 
8.30 
8.28 
8.28 
8.28 
8.27 
8.27 
8.25 
8.23 
8.25 
8.22 
8.22 


8.20 
8.18 
8.18 
8.18 
8.15 
8.17 
8.15 
8.13 
8.13 
8.13 
8.12 
8.10 
8.10 
8.10 
8.08 
8.08 
8.07 
8.07 
8.05 
8.05 
8.05 
8.03 
8.02 
8.02 
8.02 
8.00 
8.00 
7.98 
7.98 
7-97 
7-97 
7-95 
7-95 

D.  1". 


0.571  948 
.571442 
.570938 
■57°434 
.569  930 

0.569427 
•568925 
.568  423 
.567921 
.567  420 

0.566  920 
.566420 
•565  920 
•565421 
.564922 

0.564424 
.563  927 
•563  430 
•562  933 
.562437 

0.561  941 
.561  446 
.560952 
•560457 
•559  964 

o.559  47i 
.558  978 
.558486 
■557  994 
•557  503 

0.557012 
•556521 
•556032 
•555  542 
•555  053 

0.554  565 
•554  077 
•553  589 
•553io2 
.552  616 

0.552130 
•55 »  644 
•551  159 
.550  674 
.550  190 

0.549  706 
•549  223 
•548  740 
.548  257 
•547  775 

0-547  294 
•546813 
•546  332 
•545  852 
•545  372 

0.544  893 
.544414 
■543  936 
•543  458 
.542981 

Q-542  504 
Tan. 


34 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

16° 


Sin, 


o 

9.440  338 

I 

.440  778 

2 

.441  218 

3 

.441  658 

4 

.442  096 

5 

9-442  535 

6 

.442  973 

7 

.443410 

8 

•443  847 

9 

.444284 

IO 

9.444  720 

ii 

•445  '55 

12 

•445  590 

13 

.446  025 

*4 

•446  459 

15 

9.446  893 

16 

•447  326 

*7 

•447  759 

18 

.448  191 

19 

•  44S623 

20 

9.449  054 

21 

•449  485 

22 

.449915 

33 

•45°  345 

24 

•45°  775 

25 

9.451  204 

26 

.451  632 

27 

.452060 

28 

.452488 

29 

•452915 

30 

9453  342 

3i 

453  768 

32 

454  194 

33 

.454619 

34 

455  °44 

35 

9455  469 

36 

455  893 

37 

.456316 

38 

456  739 

39 

457 l62 

40 

9457  584 

4i 

.458  006 

42 

.458427 

43 

.458  848 

44 

.459  268 

45 

9.459  688 

46 

.460  108 

47 

.460527 

48 

.460  946 

49 

.461  364 

50 

9.461  782 

5i 

.462  199 

52 

.462616 

53 

.463  032 

54 

.463  448 

55 

9.463  864 

56 

.464  279 

57 

.464  694 

58 

.465  108 

59 

.465  522 

60 

9465  935 

D.  1". 


Cos. 


7-33 
7-33 
7-33 
7-3° 
7-32 

7-30 

7.28 
7.28 
7.28 
7.27 
7.25 
7-25 
7-25 
7-23 
7-23 
7.22 
7.22 
7.20 
7.20 
7.18 
7.18 
7.17 
7.17 
7.17 
7*5 
7-13 
7-13 
7i3 
7.12 
7.12 
7.10 
7.10 
7.08 
7.08 
7.08 
7.07 

7-°5 
7.05 
7.05 
7-°3 

7°3 
7.02 
7.02 
7.00 
7.00 
7.00 
6.98 
6.98 
6.97 
6.97 

6-95 

6.95 

6-93 
6-93 
6-93 
6.92 
6.92 
6.90 
6.90 
6.88 

D.  1". 


9.982  842 
.982  805 
.982  769 
•982  733 
.982  696 

9.982  660 
.982  624 
.982  587 
•982  55 * 
.982514 

9.982477 
.982  441 
.982  404 
.982  367 
.982331 

9.982  294 
.982  257 
.982  220 
.982  183 
.982  146 

9.982  109 
.982072 
.982  035 
.981  998 
.981  961 

9.981  924 
.981  886 
.981  849 
.981  812 
.981  774 

9-98i  737 
.981  700 
.981  662 
.981  625 
.981  587 

9.981  549 
.981  512 
.981 474 
.981  436 
.981  399 

9.981  361 
.981  323 
.981  285 
.981  247 
.981  209 

9.981  171 
■981  133 
.981  095 
.981057 
.981 019 

9.980981 
.980  942 
.980  904 
.980  866 
.980  827 

9.980  789 
.980  750 
.980  7 1 2 
.980  673 
.980  635 

9.980  596 
Sin. 


.62 

.60 
.60 
.62 
.60 
.60 
.62 
.60 
.62 
.62 
.60 
.62 
.62 
.60 
.62 
.62 
.62 
.62 
.62 
.62 
.62 
.62 
.62 
.62 
.62 

•63 
.62 
.62 
.63 
.62 

.62 
•63 
.62 

•63 
•63 
.62 
.63 
.63 
.62 
•63 
.63 
•63 
•63 
.63 
.63 
•63 
.63 
.63 
•63 
•63 

•63 
.63 
.65 

.63 
.65 

•63 
.65 

•63 
•65 

p.  i" 

730 


Tan. 


9457  496 

457  973 
45  s  449 

458  925 

459  400 

9459  875 
.460  349 
.460  823 
.461  297 
.461  770 

9.462  242 
.462  715 
.463  186 
.463  658 
.464  1 28 

9.464  599 
.465  069 

465  539 
.466  008 
.466  477 

9.466  945 
.467413 
.467  880 
.468  347 
.468814 

9.469  280 
.469  746 
.470  211 
.470  676 
.471  141 

9.471  605 
.472  069 
472  532 

472  995 

473  457 
9473  919 

474  381 

474  842 

475  303 
475  763 

9.476  223 
.476  683 

477  142 
.477  601 
.478  059 

9478  517 

478  975 

479  432 

479  889 

480  345 
9.480801 

.481  257 
.481  712 
.482  167 
.482  621 

9483  075 
.483  529 

483  982 

484  435 
.484  887 

9485  339 

Oot. 


D.  1". 


7-95 
7-93 
7-93 
7.92 
7.92 
7.90 
7.90 
7.90 
7.88 
7.87 
7.88 
7.85 
7.87 
7-83 
7-85 
7-83 
7-83 
7.82 
7.82 
7.80 
7.80 
7.78 
7.78 
7.78 
7-77 
7-77 
7-75 
7-75 
7-75 
7-73 

7-73 
7.72 
7.72 
7.70 
7.70 
7.70 
7.68 
7.68 
7.67 
7.67 
7.67 

7-65 
7.65 

7-63 
7-63 

7-63 
7.62 
7.62 
7.60 
7.60 
7.60 
7-58 
7.58 
7-57 
7-57 
7-57 
7-55 
7-55 
7-53 
7-53 

D.  1". 


Cot. 


542  504 
542027 

54*55* 
54i  075 
540  600 
540  125 
539651 
539  177 
538  7°3 
538  230 

537  758 
537  285 
536814 
536  342 
535  872 
535  401 
534  931 
534  46i 
533  992 
533  523 
533  055 
532587 
532  120 
53i  653 
531  186 
53o  720 
53o  254 
529  789 
529  324 
528859 

528395 
527  931 
527  468 
527  °°5 
526543 
526081 
525619 
525  158 
524  697 
524  237 
523  777 
523317 
522858 
522399 
521  941 

521  483 
521  025 
520  568 
520  in 
5*9655 
519  i99 
5*8  743 
518288 

5*7833 
5*7  379 
516925 

5*6471 
516018 

5*5  565 
5*5**3 

514  661 

Tan. 


LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

17° 


AND  COTANGENTS.      35 


Sin. 


o 

9-465  935 
•466  348 

I 

2 

.466  761 

3 

•467  173 

4 

.467  585 

5 

9.467  996 

6 

.468  407 

7 

.468817 

8 

.469  227 

9 

.469  637 

IO 

9.470  046 

ii 

•47°  455 

12 

.470  863 

13 

.471  271 

14 

•47 l  679 

15 

9.472  086 

16 

.472  492 

17 

.472  898 

18 

•473  304 

19 

•473  7IQ 

20 

9.474  115 

21 

•474 5 l9 

22 

•474  923 

23 

•475  327 

24 

•475  730 

2.5 

9476  133 

26 

.476  536 

27 

•476  938 

28 

•477  340 

29 

•477  741 

30 

9.478  142 

31 

.478  542 

32 

.478  942 

33 

•479  342 

34 

•479  741 

35 

9.480  140 

36 

.480  539 

37 

.480  937 

38 

•481  334 

39 

.481  731 

40 

9.482  128 

4i 

.482  525 

42 

.482  921 

43 

.483316 

44 

.483  712 

45 

9.484  107 

46 

.484  501 

47 

•484  895 

48 

.485  289 

49 

.485  682 

50 

9.486  075 

5i 

.486  467 

52 

.486  860 

53 

•487251 

54 

•487  643 

55 

9.488  034 

56 

.488  424 

57 

.488  814 

58 

.489  204 

59 

•489  593 

60 

9.489  982 

Cos. 


D.  1". 


6.88 
6.88 
6.87 
6.87 
6.85 
6.85 
6.83 
6.83 
6.83 
6.82 
6.82 
6.80 
6.80 
6.80 
6.78 

6-77 
6.77 
6.77 
6.77 
6-75 
6-73 
6-73 
6-73 
6.72 
6.72 
6.72 
6.70 
6.70 
6.68 
6.68 
6.67 
6.67 
6.67 
6.65 
6.65 
6.65 
6.63 
6.62 
6.62 
6.62 
6.62 
6.60 
6.58 
6.60 
6.58 
6.57 
6.57 

J57 
6-55 
6.55 

6.55 
6.52 

6-53 
6.52 

6.50 
6.50 
6.50 
6.48 
6.48 

D.  1". 


Cos. 


9.980  596 
.980  558 
.980  519 
.980  480 
.9S0  442 

9.980  403 
.980  364 
.980  325 
.980  286 
.980  247 

9.980  208 
.980  169 
.980  130 
.980091 
.980052 

9.980012 
•979  973 
•979  934 
•979  895 
•979  855 

9.979816 
•979  776 
•979  737 
•979  697 
•979  658 

9.979618 
•979  579 
•979  539 
•979  499 
•979  459 

9.979  420 
•979  380 
•979  340 
•979  3°o 
.979  260 

9.979  220 
.979  180 
•979  140 
.979  100 
.979059 

9.979019 
.978  979 
•978  939 
.978  898 
•978  858 

9.978817 
.978  777 
•978  737 
.978  696 
•978  655 

9.978615 
•978  574 
•978  533 
■978  493 
•97S452 

9.978  41 1 
.978  370 
.978  329 
.978  288 
•978  247 

9.978  206 

Sin. 


D.  1", 


65 
65 
63 

05 
65 
65 
65 
^5 
65 
^5 
^5 
65 
^5 
67 
65 
65 
65 
67 

65 
6/ 
*5 
67 
65 
67 

65 

07 
07 
67 
65 
67 
<^7 
07 
07 

07 
07 

67 
67 

68 
67 

67 
67 
oS 
67 
68 
67 

67 
08 
oS 
07 
68 
68 

67 

6S 
OS 
68 

oS 
oS 
oS 
68 

P.  1". 

72° 


Tan. 


9485  339 
485  791 
.486  242 
.486  693 
487 143 

94S7  593 
.48S  043 
.488  492 
.488  941 
.489  390 

9.4S9  838 
.490  286 
490  733 
.491  180 
.491  627 

9.492  073 
492 5 l9 
.492  965 
.493410 

493  854 
9.494  299 

494  743 
.495  186 

495  630 

496  073 
9496  5 15 

496  957 

497  399 
497  841 
.498  282 

9.498  722 
499  163 
499  603 
.500  042 
.500481 

9.500  920 

•5QI  359 
.501  797 
.502  235 
.502  672 

9.503  109 
•5°3  546 
.503  982 
.504418 
.504  854 

9.505  289 
.505  724 
.506159 
.506  593 
.507027 

9.507  460 
.507  893 
.508  326 
.508  759 
.509  191 

9.509  622 
.510054 
.510485 
.510916 
.511346 

9-5"  776 

Cot. 


D  1". 


7-53 
7-52 
7-52 
7.50 
7.50 
7.50 
7.48 
7.48 
7.48 
747 
747 
745 
745 
745 
743 
743 
743 
7.42 
7.40 
7.42 
7.40 
7-38 
7.40 
7-38 
7-37 
7-37 
7-37 
7-37 
7-35 
7-33 
7-35 
7-33 
7-32 
7-32 
7-32 
7-32 
7-3° 
7-3o 
7.28 
7.28 
7.28 
7.27 
7.27 
7.27 
7-25 
7-25 
7-25 
7-23 
7-23 
7.22 

7.22 
7.22 
7.22 
7.20 
7.18 
7.20 
7.18 
7.18 
7.17 
7.17 

D.  1". 


Cot. 


0.5 14  661 

60 

.514209 

59 

■513758 

58 

•5 x  3  307 

57 

.512857 

56 

0.512407 

55 

•5"  957 

54 

.511508 

53 

•5 1 >  o59 

52 

.510  610 

5i 

0.510  162 

50 

.509714 

49 

.509  267 

48 

.508  820 

47 

•5°8  373 

46 

0.507  927 

45 

.507481 

44 

■507  035 

43 

.506  590 

42 

.506  146 

4i 

0.505  701 

40 

•5°5  257 

39 

.504814 

38 

•5°4  370 

37 

•503927 

36 

0.503  485 

35 

•5°3  043 

34 

.502  601 

33 

.502  159 

32 

.501.718 

3i 

0.501  278 

30 

.500  837 

29 

.500  397 

28 

499  958 

27 

499  5 r9 

26 

0.499  °8o 

25 

.498  641 

24 

.498  203 

23 

497  765 

22 

497  328 

21 

0.496891 

20 

.496  454 

19 

.496018 

18 

495  582 

17 

495  J46 

16 

0.494  711 

15 

494  276 

14 

493  841 

13 

493  407 

12 

492  973 

11 

0.492  540 

10 

492  107 

9 

.491  674 

8 

.491  241 

7 

.490  809 

6 

0.490  378 

5 

.489  946 

4 

.489515 

3 

.489  084 

2 

.488  654 

1 

0.488  224 

0 

Tan. 

M. 

36      LOGARITHMIC   SINES, 


COSINES,   TANGENTS, 
18° 


AND   COTANGENTS. 


9.489  982 
•490  371 
•490  759 
.491  147 

•491  535 
9.491  922 
.492  308 
.492  695 
.493081 
•493  466 
9-493  85I 
•494  236 
.494621 
•495  °°5 
•495  388 

9-495  772 
.496154 

•496  537 
.496919 

•497  301 

9.497  682 
.498  064 
.498  444 
.498  825 
•499  204 

9.499  584 
•499  963 
.500  342 
.500  721 
.501  099 

9.501  476 
.501  854 
.502  231 
.502  607 
.502  984 

9.503  360 

•5°3  735 
.504  no 
.504  485 
.504  860 

9.505  234 
.505  608 
.505  981 
.506  354 
.506  727 

9.507  099 

•5°7  47i 
.507  843 
.508  214 
.508  585 

9.508956 
.509  326 
.509  696 
.510065 
.510434 

9.510803 
.511  172 
•511  540 
.511  907 
•512275 

9-512642 
Cos. 


D.  1" 


6.48 
6.47 
6.47 
6.47 
6-45 
6-43 
6-45 
6-43 
6.42 
6.42 
6.42 
6.42 
6.40 
6.38 
6.40 

6-37 
6.38 
6-37 
6-37 
6-35 
6-37 
6-33 
6-35 
6.32 

6-33 
6.32 
6.32 
6.32 
6.30 
6.28 
6.30 
6.28 
6.27 
6.28 
6.27 
6.25 
6.25 
6.25 
6.25 
6.23 

6.23 
6.22 
6.22 
6.22 
6.20 
6.20 
6.20 
6.18 
6.18 
6.18 
6.17 
6.17 
6.15 
6.15 
6.15 
6..5 
6.13 
6.12 
6.13 
6.12 

D.  1". 


Cos, 


9.978  206 
•978  165 
.978  124 
.978083 
.978  042 

9.978001 
•977  959 
.977918 

■977  877 
•977  835 

9-977  794 
.977752 
.977711 
.977669 
.977  628 

9.977  586 
•977  544 
■977  5°3 
.977461 
.977419 

9-977  377 
•977  335 
•977  293 
•977  251 
•977  209 

9.977  167 
•977  I25 
•977  083 
.977041 
.976  999 

9-976  957 
.976914 
.976  S72 
.976830 
.976  787 

9-976  745 
.976  702 
.976  660 
.976617 
•976  574 

9-97"  532 
.976489 
.976  446 
•976  404 
.976361 

9.976318 
•976  275 
.976  232 
.976189 
.976  146 

9.976  103 
.976060 
.976017 
•975  974 
•975  93o 

9.975  887 
•975  844 
■975  800 
•975  757 
•975  7 '4 

9-975  670 
Sin. 


D.  1' 


68 

68 

68 
68 
68 
70 
68 
68 
70 
68 
70 
68 
70 
68 
70 

70 
68 

70 
70 
70 

70 
7° 
70 
7° 
70 
70 
70 
70 
70 
70 

72 
70 
70 
72 
70 

72 
70 
72 

T~ 
70 

72 
72 
70 
T- 
72 
72 
72 
72 
72 
72 
72 
72 
72 
73 
72 
72 
73 
72 
72 
73 

D.  1". 

71° 


Tan. 


9.51 1  776 
.512  206 
•512635 
•5 « 3  064 
•5 1 3  493 

9.513  921 
•5J4  349 
■5*4  777 
.515204 

•5*5631 

9.516057 
.516484 
.516910 

•5*7  335 
.517761 

9.518  186 
.518610 
•5 ! 9  034 
.519458 
.519882 

9.520  305 
.520  728 
.521  151 
•521573 
•521  995 

9.522417 
.522838 
•523259 
.523  680 
.524  100 

9-524  520 
.524940 
•525  359 
•525  778 
.526  197 

9.526615 
•527033 
•527  451 
.527  868 
•528  285 

9.528  702 
.529119 
•529  535 
•529  951 
.530  366 

9.530781 
•531  196 
.531611 
.532025 
•532  439 

9-532853 
•533  266 
•533  679 
•534  092 
•534  5°4 

9-534  9I6 
•535  328 
•535  739 
.536150 
•536561 

9-536  972 
Cot. 


D.  1' 


7.17 
7-15 
7-i5 
7-15 
7-13 
7-i3 
7-13 
7.12 
7.12 
7.10 
7.12 
7.10 
7.08 
7.10 
7.08 
7.07 

7-07 
7.07 
7.07 
7-05 
7.05 
7-05 
7-°3 
7-°3 
7-03 
7.02 
7.02 
7.02 
7.00 
7.00 
7.00 
6.98 
6.98 
6.98 
6.97 
6.97 
6.97 
6-95 
6-95 
6-95 
6-95 
6-93 
6-93 
6.92 
6.92 
6.92 
6.92 
6.90 
6.90 
6.90 
6.88 
6.88 
6.88 
6.87 
6.87 
6.87 
6.85 
6.85 
6.85 
6.85 

D.  1". 


Cot. 


0.488  224 
•487  794 
•487  365 
.486  936 
.486  507 

0.486  079 
.485651 
.485  223 
.484  796 
.484  369 

0483  943 
.483516 
.483  090 
.482  665 
482  239 

0.481  814 
481  390 
.480  966 
.480  542 
.480118 

0.479  695 
.479272 
478  849 
.478427 
.478  005 

0-477  583 
.477  162 
476  741 
476  320 
475  900 

0.475  48o 
.475  060 
474  641 
.474  222 
473  S03 

0-473  385 
.472  967 
472  549 
472  132 
471  715 

0.471  298 
.470881 
.470  465 
47°  °49 
469  634 

0.469  219 
.468  804 
468  389 
467  975 
467  561 

0.467  147 
466  734 
.466321 
.465  908 
465  496 

0.465  084 
.464  672 
.464  261 
.463  850 
463  439 

0.463  028 

Tan. 


LOGARITHMIC    SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.      37 

19° 


Sin, 


512642 
513009 
513  375 

513  74i 

514  107 

514472 

5H837 

515  202 
515  566 
5*5  93o 
516294 
516657 

5 1 7  020 
5*7  382 
5  J  7  745 

518  107 
518468 
518829 

519  190 
5*9  55* 
5*99" 

520  271 
520631 

520  990 

521  349 
521  707 
522066 
522424 
522781 
523  138 

523  495 
523852 

524  208 

524  564 
524920 

525  275 

525  630 
525984 
526339 

526  693 

527  046 
527400 

527  753 

528  105 
528458 
528810 

529  161 
5295*3 

529  864 
530215 

530  565 
530915 
53i  265 
53i  614 
53i  963 
532312 
532661 
533  009 
533  357 

533  7°4 

534  052 
Cos. 


D.  1' 


6.12 
6.10 
6.10 
6.10 
6.08 
6.08 
6.08 
6.07 
6.07 
6.07 
6.05 
6.05 
6.03 
6.05 
6.03 
6.02 
6.02 
6.02 
6.02 
6.00 
6.00 
6.00 
5-98 
5-98 
5-97 
5-98 
5-97 
5-95 
5-95 
5-95 
5-95 
5-93 
5-93 
5-93 
5.92 

5-92 
5.90 
5-92 
5-90 
5.88 
5.90 
5.88 
5.87 
5.88 
5-87 
5.85 
5.87 
5.85 
5-85 
5-83 
5.83 
5.83 
5.82 
5.82 
5.82 
5.82 
5.80 
5.80 
5-78 
5.80 

D.  1". 


Cos. 


9.975  670 
•975  627 
•975  583 
•975  539 
•975  496 

9-975  452 
•975  408 
■975  365 
•975  321 
•975  277 

9-975  233 
•975  189 
•975  *45 
•975  IO* 
•975  057 

9-975  0*3 
•974  969 
•974  925 
.974  880 
•974  836 

9.974  792 
•974  748 
•974  7°3 
•974  659 
•974  614 

9-974  57° 
•974  525 
.974481 

•974  436 
•974  391 

9-974  347 
•974  302 
•974  257 
.974212 
•974  167 

9.974  122 
•974  077 
•974  032 
•973  987 
•973  942 

9-973  897 
•973  852 
•973  807 
•973  761 
.973716 

9.973671 
•973  625 
•973  580 
•973  535 
•973  489 

9-973  444 
•973  398 
•973  352 
•973  307 
.973  261 

9-973  2I5 
•973  169 
•973  124 
.973078 
•973032 

9.972986 


D.  1' 


•72 
•73 
•73 
.72 

•73 

•73 
.72 

•73 
•73 
■73 
■73 

•73 
•73 
•73 
•73 
•73 
•73 
■75 
•73 
•73 
•73 
•75 
•73 
•75 
■73 
■75 
•73 
•75 
•75 
•73 
■75 
•75 
•75 
•75 
•75 
■75 
•75 
•75 
•75 
•75 
•75 
•75 
•77 
■75 
•75 
•77 
•75 
■75 
•77 
•75 
•77 
•77 
•75 
•77 
•77 
•77 
•75 
•77 
•77 
•77 

DTI"! 
"70° 


Tan. 


9.536972 
537  382 

537  792 

538  202 

538  61 1 
539020 

539  429 

539  837 

540  245 

540  653 

541  061 

541  468 
54i  875 

542  281 

542  688 

543  094 
543  499 

543  905 

544  3io 

544  7*5 

545  **9 
545  524 

545  928 

546  331 

546  735 

547  138 
547  540 

547  943 

548  345 

548  747 

549  149 
549  55o 

549  95* 

550  352 
55°  752 
55*  *53 
551552 
55*952 
552351 
552750 
553  149 
553  548 

553  946 

554  344 

554  74i 

555  *39 
555  536 

555  933 

556  329 
556  725 
557*21 
5575*7 
557913 
558  308 

558  703 

559  097 
559  491 

559  885 

560  279 

560  673 

561  066 
Cot. 


D.  1' 


6.83 
6.83 
6.83 
6.82 
6.82 
6.82 
6.80 
6.80 
6.80 
6.80 
6.78 
6.78 
6.77 
6.78 
6-77 
6.75 
6.77 

6-75 
6.75 

6-73 
6-75 
6-73 
6.72 

6-73 
6.72 

6.70 
6.72 
6.70 
6.70 
6.70 
6.68 
6.68 
6.68 
6.67 
6.68 
6.65 
6.67 
6.65 
6.65 
6.65 
6.65 
6.63 
6.63 
6.62 
6.63 
6.62 
6.62 
6.60 
6.60 
6.60 
6.60 
6.60 
6.58 
6.58 
6.57 
6.57 

6-57 
6.57 
6.57 
6-55 

D.  1". 


Cot. 


0.463  028 
.462618 
.462  20S 
.461  798 
.461  389 

0.460  980 
.460571 
.460  163 
•459  755 
•459  347 

0458  939 
•458  532 
.458125 

•457 7*9 
•457  312 

0.456  906 
.456501 
•456095 
•455  690 
•455  285 

0.454881 
.454476 
•454072 
•453  669 
•453  265 

0.452  862 
.452  460 
.452057 
•451655 
•45*  253 

0.450851 
•45°  45° 
•45°  °49 
•449  648 
•449  248 

0.448  847 
.448  448 
.448  048 
•447  649 
•447  250 

0.446851 
.446452 
■446  054 
•445  656 
•445  259 

0.444  861 
•444  464 
•444  067 
.443671 
•443  275 

0.442  879 
.442  483 
.442  087 
.441  692 
.441  297 

0.440  903 
.440  509 
.440115 
•439  721 
•439  327 

0-438  934 
Tan. 


38      LOGARITHMIC   SINES,   COSINES,   TANGENTS,  AND   COTANGENTS. 

20° 


M. 


Sin. 


D.  1' 


Cos. 


Tan, 


D.  1". 


Cot. 


o 

9-534  052 

I 

•534  399 

2 

•534  745 

3 

.535092 

4 

•535  438 

5 

9-535  783 

6 

.536129 

7 

•536  474 

8 

.536818 

9 

•537  163 

IO 

9-537  507 

ii 

•537851 

12 

•538  194 

13 

•538  538 

14 

.538880 

15 

9-539  223 

16 

•539  565 

*7 

•539  907 

18 

.540  249 

19 

.540  590 

20 

9-540  93I 

21 

.541  272 

22 

.541  613 

23 

•54i  953 

24 

•542  293 

25 

9.542  632 

2b 

•542  971 

27 

•543  3io 

28 

•543  649 

29 

•543  987 

30 

9-544  325 

31 

•544  663 

32 

.545  000 

33 

■545  338 

34 

•545  674 

35 

9.546  01 1 

36 

•546  347 

37 

.546683 

38 

.547019 

39 

•547  354 

40 

9.547  689 

41 

.548024 

42 

•548  359 

43 

•548  693 

44 

.549027 

45 

9.549  360 

46 

•549  693 

47 

.550026 

48 

•550  359 

49 

•55°  692 

50 

9-551  °24 

5i 

•55'  356 

52 

.551687 

53 

.552018 

54 

•552  349 

55 

9.552680 

56 

•5530IO 

57 

•553  341 

58 

•553  670 

59 

•554  000 

60 

9-554  329 

Cos. 


5.78 

5-77 
5.78 
5-77 
5-75 
5-77 
5-75 
5-73 
5-75 
5-73 
5-73 
5-72 
5-73 
5-7° 
5-72 
5-70 
5.70 

5-7° 
5.68 
5.68 
5.68 
5.68 
5-67 
5-67 
5-65 
5-65 
5-65 
5.65 

5-63 
5-63 

5.63 
5.62 

5-63 
5.60 
5.62 
5.60 
5.60 
5.60 
5.58 
5-58 
5.58 
5-58 
5-57 
5-57 
5-55 
5-55 
5-55 
5-55 
5-55 
5-53 
5-53 
5-52 
5-52 
5.52 
5-52 
5-5o 
5-52 
5.48 
5-50 
5.48 

D.  1". 


9.972  986 
■972  940 
.972  894 
.972  848 
.972  802 

9-972  755 
.972  709 
.972  663 
.972617 
•972  570 

9.972524 
.972478 
•972  43i 
•972  385 
•972  338 

9.972  291 
•972  245 
.972  198 
.972151 
.972  105 

9.972058 
.972011 

•97 «  964 
.971917 
.971  870 

9.971  823 
.971  776 
.971  729 
.971  682 
•97i  635 

9.971  588 
.971  540 
•971  493 
•97 1  446 
•97 r  398 

9-971  351 
•97i  303 
.971  256 
.971  208 
.971  161 

9.971  113 
.971  066 
.971 018 

•970  970 
.970922 

9.970  874 
.970827 
•970  779 
•97°  73i 
.970  683 

9.970  635 
.970  586 
•970  538 
.970  490 
•970  442 

9-97°  394 
•97°  345 
•970  297 
.970  249 
.970  200 

9-97°  lS2 
Sin. 


D.  1" 


9.561  066 
•561  459 
.561  851 
.562  244 
.562  636 

9.563028 

■563  419 
.563811 
.564  202 
•564  593 

9.564  983 
•565  373 
•565  763 
•566  153 
.566  542 

9.566  932 
.567  320 

.567  7°9 
.568  098 
.568  486 
9.568873 
.569  261 
.569  648 

•570  035 
.570422 

9.570809 
•571  195 
•57i  581 
.571  967 
•572  352 

9-572  738 
•573  123 
•573  507 
•573  892 
.574  276 

9.574  660 
•575  044 
•575  427 
.575810 
•576  193 

9.576576 
.576959 
•577  341 
•577  723 
.578  104 

9.578486 
.578867 
•579  248 
•579629 
.580009 

9.580  389 
.580  769 
.581  149 
.581  528 
•5S1  907 

9.582  286 
.582  665 
.583  044 
•583422 
.583  800 

9-584I77 
Cot. 


6-55 
6-53 
6.55 
6-53 
6-53 
6.52 
6-53 
6.52 
6.52 
6.50 
6.50 
6.50 
6.50 
6.48 
6.50 
6.47 
6.48 
6.48 
6.47 
6.45 
6.47 
6.45 

6-45 
6.45 
6.45 

6-43 
6-43 
6-43 
6.42 

6-43 
6.42 
6.40 
6.42 
6.40 
6.40 
6.40 
6.38 
6.38 
6.38 
6.38 
6.38 
6-37 
6-37 
6-35 
6-37 
6.35 
6-35 
6-35 
6-33 
6-33 
6-33 
6-33 
6.32 
6.32 
6.32 
6.32 
6.32 
6.30 
6.30 
6.28 

D.  1". 


0.438  934 
•43S  54i 
•438  149 
•437  756 
•437  364 

0.436972 
.436  581 
.436  189 
•435  798 
•435  407 

0.435017 
•434  627 
•434  237 
•433  847 
•433  458 

0.433  °68 
.432  680 
•432  291 
431  902 
•431  5H 

0.431  127 
■430  739 
•430  352 
.429  965 
•429  578 

0.429  191 
.428  805 
.428419 
.428033 
.427  648 

0.427  262 
.426877 
.426  493 
.426  108 
•425  724 

0.425  340 
.424  956 
•424  573 
.424  190 
.423  807 

0.423  424 
.423  041 
.422  659 
.422  277 
.421  896 

0.421  514 
•421  133 
•420  752 
•420371 
.419991 

0.419  611 
.419231 
.418851 
.41S472 
.418093 

0.417  714 

•417  335 
.416956 
.416578 
.416  200 
0415823 
Tan. 


LOGARITHMIC    SINES,   COSINES,   TANGENTS.   AND   COTANGENTS.     39 

21° 


Sin, 


0 

9-554  329 

I 

•554658 

2 

•554  987 

3 

•555  315 

4 

•555  643 

S 

9-555  971 

6 

•556  299 

7 

556  626 

8 

•556  953 

9 

•557  28o 

IO 

9.557606 

ii 

•557  932 

12 

-558258 

13 

•558  583 

14 

•558  909 

*S 

9-559  234 

16 

•559  558 

17 

•559  883 

18 

.560  207 

19 

•560531 

20 

9.560  855 

21 

•561  178 

22 

.561  501 

23 

.561  824 

24 

.562  146 

25 

9.562  468 

26 

.562  790 

27 

.563112 

28 

•563  433 

29 

•563  755 

30 

9.564075 

31 

•564  396 

32 

.564716 

33 

•565  036 

34 

•565  356 

35 

9.565  676 

36 

•565  995 

37 

.566314 

38 

.566632 

39 

.566951 

40 

9.567  269 

4i 

.567587 

42 

•567  904 

43 

.568  222 

44 

•568  539 

45 

9.568  856 

46 

.569  172 

47 

.569  488 

48 

.569  804 

49 

.570  120 

5o 

9-57°  435 

51 

•570  751 

52 

.571  066 

53 

.571  380 

54 

.571  695 

55 

9.572009 

5t> 

•572  323 

57 

.572636 

5« 

•572  950 

59 

•573  263 

60 

9-573  575 

D.  1' 


5.48 
5.48 

5-47 
5-47 

5-47 
5-47 
5-45 
5-45 
5-45 
5-43 
5-43 
5-43 
5.42 

5-43 
5-42 
540 
5.42 
5.40 
540 
5.40 

5-38 
5-38 
5-38 
5-37 
5-37 
5-37 
5-37 
5-35 
5-37 
5-33 
5-35 
5-33 
5-33 
5-33 
5-33 
5-32 
5-32 
5-3o 
5-32 
5-30 

5-30 

5.28 
5-30 
5.28 
5.28 

5-27 
5-27 
5-27 
5-27 
5-25 
5-27 
5-25 
5-23 
5-25 
5-23 

5-23 
5.22 

5-23 
5.22 
5.20 


Cos. 


9.970  152 
•970  103 
•970055 
.970006 
•969  957 

9.969  909 
.969  860 
.969  811 
.969  762 
.969  714 

9.969  665 
.969  616 

•969567 
.969  518 
.969  469 

9.969  420 
•969  37° 
•969  321 
.969  272 
.969  223 

9.969173 
.969  124 
.969  075 
.969025 
.968  976 

9.968  926 
.968877 
.968  827 
.968  777 
.968  728 

9.968  678 
.968  628 
.968  578 
.968  528 
.968  479 

9.968  429 
•968  379 
.968  329 
.968  278 
.968  228 

9.96,°  178 
.968128 
.968  078 
.968  027 
•967  977 

9.967  927 
.967  876 
.967  826 
•967  775 
•967  725 

9.967  674 
.967  624 

•967  573 
.967  522 

•967  471 

9.967421 

•967  370 

.967319 

.967  268 

.967217 

9.967  166 

Sin. 


D.  1" 


*5 


D,  1" 

68c 


Tan. 


9.584177 
•584  555 
•5S4  932 
•585  309 
.585  686 

9.586062 
.586439 
.586815 
.5S7  190 
.587  566 

9.587  941 
.5S8316 
.588  691 
.589  066 
.589  440 

9.589814 
.590  188 
.590562 
•59o  935 
.591  308 

9.591  681 
•592054 
.592426 
.592  799 
•593  W 

9-593  542 
•593  914 
•594  285 
•594656 
•595  027 

9-595  398 
•595  768 
.596  138 
.596  508 
.596878 

9.597  247 
.597616 
•597  985 
•598  354 
.598  722 

9.599091 
•599  459 
•599  827 
.600  194 
.600  562 

9.600  929 
.601  296 
.601  663 
.602  029 
.602  395 

9.602  761 
.603  127 
•603  493 
.603  858 
.604  223 

9.604  588 
.604953 
.605317 
.605  6S2 
.606  046 

9.606410 
Cot. 


D.  1". 


6.30 
6.28 
6.28 
6.28 
6.27 
6.28 
6.27 
6.25 
6.27 
6.25 
6.25 
6.25 
6.25 
6.23 
6.23 
6.23 
6.23 
6.22 
6.22 
6.22 
6.22 
6.20 
6.22 
6.20 
6.18 
6.20 
6.18 
6.18 
6.18 
6.18 
6.17 
6.17 
6.17 
6.17 
6.15 

*15 
6.15 

6.15 

6.13 

6.15 

6.13 
6.13 
6.12 
6.13 
6.12 

6.12 
6.12 
6.10 
6.10 
6.10 
6.10 
6.10 
6.08 
6.08 
6.08 
6.08 
6.07 
6.08 
6.07 
6.07 

D.  1". 


Cot. 


0.415823 

415  445 
.415  068 
.414691 
.414314 

0413938 
.413561 
.413185 
.412  810 
.412434 

0.412059 
.41 1  684 
.411309 
.410934 
.410  560 

0.410  186 
.409  812 
.409  438 
.409  065 
.408  692 

0.408  319 
.407  946 
407  574 
.407  201 
.406  829 

0.406458 
.406  086 
405  7^ 
405  344 
404  973 

0.404  602 
404  232 
.403  862 
.403  492 
.403  122 

0.402  753 
.402  384 
.402015 
.401  646 
.401  278 

0.400  909 
400  541 
.400  1 73 
•399  806 
•399  438 

0.399071 
.398  704 
•398  337 
•397  971 
•397  605 

0-397  239 
•396873 
•396  507 
.396  142 

•395  777 

0.395412 

•395  °47 

•394  683 

•394  3i8 

•393  954 

Q-393  590 

Tan. 


40     LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

22° 


0 

9-573  575 
•573  888 

I 

2 

.574  200 

3 

•574  512 

4 

•574  824 

5 

9-575  136 

b 

•575  447 

7 

•575  758 

8 

.576069 

9 

•576  379 

IO 

9.576  689 

ii 

•576  999 

12 

•577  309 

13 

.577618 

14 

.577927 

15 

9.578  236 

16 

•578  545 

17 

.578853 

18 

■579  162 

19 

•579  470 

20 

9-579  777 

21 

.580085 

22 

.580392 

23 

.580  699 

24 

.581  005 

25 

9.581  312 

26 

.581618 

27 

.581  924 

28 

.582  229 

29 

•582  535 

30 

9.582  840 

31 

■583  145 

32 

•583  449 

33 

•583  754 

34 

.584058 

35 

9.584361 

36 

.584  665 

37 

•584968 

38 

•585  272 

39 

085  574 

40 

9.585  877 

41 

.586179 

42 

.586482 

43 

.586  783 

44 

.587085 

45 

9.587  386 

46 

.587  688 

47 

.587989 

48 

.588  289 

49 

.588  590 

50 

9.588  890 

Si 

.589  190 

52 

•589  489 

53 

.589  789 

54 

.590  088 

55 

9.590  387 

56 

.590  686 

57 

.590  984 

58 

.591  282 

59 

.591  580 

60 

9.591  878 

D.  1' 


5.22 
5.20 
5.20 
5.20 
5.20 
5.18 
518 
518 
5-17 
517 
5'7 
517 
5-15 
515 
515 
5-15 
5-13 
5^5 
5-i3 
5.12 

5-13 
5.12 
5.12 
5.10 
5.12 
5.10 
5.10 
5.08 
5.10 
5.08 
5.08 
5.07 
5.08 

5-°7 
5.05 

5.07 
5-o5 
5-°7 
5-°3 
5.05 

5-o3 
5.05 
5.02 

5-°3 
5.02 

5-°3 
5.02 
5.00 
5.02 
5.00 
5.00 
4.98 
5.00 
4.98 
4.98 
4.98 
4-97 
4-97 
4-97 
4-97 


Cos. 


9.967  166 
.967115 
.967  064 
.967013 
.966961 

9.966910 
.966  859 
.966  808 
.966  756 
.966  705 

9.966  653 
.966  602 
.966  550 
.966  499 
.966  447 

9.966  395 
.966  344 
.966  292 
.966  240 
.966  188 

9.966  136 
.966  085 
.966033 
.965  981 
.965  929 

9.965  876 
.965  824 
.965  772 
.965  720 
.965  668 

9.965615 
•965  563 
•965  511 
.965  458 
.965  406 

9-965  353 
.965  301 
.965  248 

•965  195 
.965  143 

9.965  090 
•965  037 
.964  984 
.964931 
•964  879 

9.964  826 

•964  773 
.964  720 
.964  666 
.964613 

9.964  560 
.964  507 
•964  454 
.964  400 
•964  347 

9.964  294 
.964  240 
.964  187 

•964133 
.964  080 

9.964  026 


D.  1' 


.85 
.85 
$ 
.87 
.85 
.85 
.85 
.87 
.85 
.87 
.85 
.87 
.85 
.87 
.87 
.85 
•87 
.87 
.87 
.87 

•85 
.87 
.87 
■87 
.88 
.87 

•87 

.87 

87 

.88 

.87 
•87 

.88 
.87 
.88 

•87 

.88 
.88 
.87 


Tan. 


9.606410 
.606  773 
.607  137 
.607  500 
.607  863 

9.608  225 
.608  588 
.608  950 
.609312 
.609  674 

9.610036 
.610397 
.610759 
.611  120 
.611  480 

9.61 1  841 
.612  201 
.612  561 
.612  921 
.613281 

9.613  641 
.614000 
•614  359 
.614718 
.615077 

9-615  435 
•615  793 
.616  151 
.616  509 
.616867 

9.617  224 
.617582 
.617939 
.618295 
.618652 

9.619008 
.619  364 
.619  720 
.620076 
.620  432 

9.620  787 
.621  142 
.621  497 
.621  852 
.622  207 

9.622  561 
.622915 
.623  269 
.623  623 
.623  976 

9.624  330 
.624  683 
.625  036 
.625  388 
■625  741 

9.626093 
.626  445 
.626  797 
.627  149 
■627  501 

9.627  852 


D.  !'■ 


6.05 
6.07 
6.05 
6.05 
6.03 
6.05 
6.03 
603 
6.03 
6.03 
6.02 
6.03 
6.02 
6.00 
6.02 
6.00 
6.00 
6.00 
6.00 
6.00 
5.98 
5.98 
5-98 
5.98 
5-97 
5-97 
5-97 
5-97 
5-97 
5-95 
5-97 
5-95 
5-93 
5-95 
5-93 
5-93 
5-93 
5-93 
5-93 
5-92 
5.92 
5-92 
5.92 
5-92 
5-90 

5-90 
5.90 
5-9° 
5.88 
5.90 
5.88 
5.88 
5.87 
5.88 
5.87 
5.87 
5-87 
5.87 
5.87 
5.85 


Cot. 


o-393  590 
•393  227 
•392  863 
.392  500 
•392  137 

0-39I  775 
.391412 
.391  050 
.390  688 
.390  326 

0.389  964 
.389  603 
.389  241 
.388  880 
.388  520 

0.388  159 
•387  799 
•387  439 
.387079 

.386719 

0.386  359 
.386  000 
.385  641 
.385  282 
•384  923 

0.384  565 
.384  207 
•383  849 
■383  491 
.383  133 

0.382  776 
.382418 
.382061 
.381  705 
.381  348 

0.380  992 
.380  636 
.380  280 
•379  924 
•379  568 

0.379213 

.378  858 
•378  5°3 
.378  148 
•377  793 
0-377  439 
•377  085 
•376  731 
•376  377 
•376024 

0.375  670 
•375  317 
•374  964 
.374  612 
•374  259 

o.373  907 
•373  555 
•373  203 
•372851 
•372  499 

0.372  148 


Cos. 


D.  1' 


Sin. 


Cot. 


D.  1" 


Tan. 


67° 


LOGARITHMIC   SINES, 


COSINES,   TANGENTS, 
23° 


AND   COTANGENTS.    41 


23 

24 

25 

26 
27 
28 
29 
30 
31 
32 
33 
34 
35 
36 
37 
38 
39 
40 
4i 
42 
43 
44 

45 

46 

47 
48 

49 
50 
5i 
52 
53 
54 
55 
56 
57 
58 
59 
60 


Sin. 


9.591  S78 
.592176 

•592  473 
.592  770 

•593  o67 
9-593  363 
•593  659 
•593  955 
■594251 
•594  547 
9.594  842 
•595  137 
•595  432 
•595  727 
.596021 

9-596  3I5 
.596  609 
•596  903 
•597  196 
•597  490 

9-597  783 
•598075 
.598  368 
.598  660 
.598952 

9.599  244 
•599  536 
.599827 
.600118 
.600  409 

9.600  700 
.600  990 
.601  280 
.601  570 
.601  860 

9.602  150 
.602  439 
.602  728 
.603017 
•603  305 

9.603  594 
.603  882 
.604  170 
•604457 
.604  745 

9.605  032 
.605  319 
.605  606 
.605  892 
.606  179 

9.606  465 
.606  751 
.607  036 
.607  322 
.607  607 

9.607  892 
.608  177 
.608  461 
.608  745 
.609  029 

9609313 
Cos. 


D,  1". 


4-97 
4-95 
4-95 
4-95 
4-93 
4-93 
4-93 
4-93 
4-93 
4.92 

4.92 
4.92 
4.92 
4.90 
4.90 
4.90 
4.90 
4.88 
4.90 
4.88 
4.87 
4.88 
4.87 
4.87 
4.87 
4.87 
4-85 
4.85 
4.85 
4.85 

4-83 
4.83 
4-83 
4-83 
4.83 
4.82 
4.82 
4.82 
4.80 
4.82 
4.80 
4.80 
4.78 
4.80 
4.78 

478 
4.78 
4-77 
4.78 
4-77 
4-77 
4-75 
4-77 
4-75 
4-75 
4-75 
4-73 
4-73 
4-73 
4-73 

D.  1". 


Cos. 


9.964  026 
•963  972 
.963919 
.963  865 
.963  8  u 

9-963  757 
•963  7°4 
.963  650 
.963  596 
•963  542 

9.963  4S8 
•963  434 
•963  379 
.963  325 
.963  271 

9.963217 
.963  163 
.963  108 
.963  054 
.962  999 

9.962  945 
.962  890 
.962  836 
.962  781 
.962  727 

9.962672 
.962  617 
.962  562 
.962  508 
.962  453 

9.962  398 
•962  343 
.962  288 
.962  233 
.962  178 

9.962  123 
.962  067 
.962012 
.961  957 
.961  902 

9.961  846 
.961  791 
•961  735 
.961  680 
.961  624 

9.961  569 
.961513 
.961  458 
.961  402 
.961  346 

9.961  290 
.961  235 
.961  179 
.961  123 
.961  067 
9.961  on 
.960955 
.960  899 
.960  843 
.960  786 
9.960  730 


D.l' 


Tan. 


.90 
.88 
.90 
.90 
.90 
.88 
.90 
.90 
.90 
.90 
.90 
.92 
.90 
.90 
.90 
.90 
.92 
.90 
.92 
.90 
.92 
.90 
•92 
.90 
.92 
.92 
.92 
.90 
.92 
•92 
.92 
.92 
•92 
•92 
•92 

•93 
.92 
.92 
.92 
•93 
.92 
•93 
•92 
•93 
.92 

•93 
.92 

•93 
•93 

•93 
•92 
•93 
•93 
•93 
•93 
•93 
•93 
•93 
•95 
•93 

11,1" 

66° 


9.627  852 
.628  203 
.628  554 
.628  905 
.629  255 

9.629  606 
.629956 
.630  306 
.630  656 
.631005 

9-631  355 
.631  704 
■632053 
.632  402 
.632  750 

9-633  °99 
•633  447 
•633  795 
■634  143 
.634  490 

9.634  838 
•635  185 
•635  532 
•635  879 
.636  226 

9.636572 
.636919 
•637  265 
.637611 
.637  956 

9.638  302 
.638  647 
.638  992 
•639  337 
.639  682 

9.640  027 
.640371 
.640  716 
.641  060 
.641  404 

9.641  747 
.642091 
•642  434 
.642  777 
■643  120 

9.643  463 
.643  806 
.644  148 
•644  49° 
.644  832 

9.645  174 
.645516 

•645  857 
.646  199 
.646  540 

9.646881 
.647  222 
.647  562 
.647  903 
.648  243 

9-648  583 
Cot. 


S5 
S5 
85 
S3 
S5 
83 
S3 
S3 
82 

83 

82 

82 

82 

80 
82 

So 
So 
80 
7S 
80 

7S 
78 

7S 
7S 
77 
7S 
77 
77 
75 
77 
75 
75 
75 
75 
75 
73 
75 
73 
73 
72 

73 

72 
72 
72 
72 

72 
70 

7° 
70 
70 

70 
68 
70 
bS 


Cot. 


0.372  148 

■371  797 
,371  446 

37i  °95 
37°  745 

37°  394 
370044 
369  694 
369  344 
[68  995 

368  645 
368  296 
367  947 
367  598 
367  25° 
366  901 
366  553 
[66  205 

365  857 
365  5 IO 
;65  162 
,364815 
,364  468 
.364121 
•363  774 
363  428 
363081 
362  735 
362  389 
362  044 
,361  698 
■361  353 
361  008 
360663 
360318 

159  973 
359  629 
359  284 
358  940 
358  596 
358  253 
357  909 
357  566 
357223 
356  880 

356  537 
356  194 
355  852 
355  5io 
355  168 
354826 
354  484 
354  143 
353  801 
353  460 
353  "9 
352  778 
352438 
352  097 
351  757 
■35*4*7 
Tan. 


42     LOGARITHMIC   SINES, 


COSINES,   TANGENTS, 
24° 


AND   COTANGENTS. 


D.  1". 


Cos, 


Tan. 


D.  1". 


Cot. 


0 

9.609313 

I 

.609  597 

2 

.609  880 

3 

.610  164 

4 

.610447 

5 

9.610  729 

6 

.611 012 

7 

.61 1  294 

8 

.611576 

9 

.611858 

IO 

9.612  140 

ii 

.612421 

12 

.612  702 

13 

.612983 

M 

.613  264 

15 

9-613  545 

ib 

.613825 

17 

.614  105 

18 

.614385 

19 

.614665 

20 

9.614  944 

21 

.615  223 

22 

.615502 

2.3 

.615781 

24 

.616060 

25 

9.616338 

26 

.616616 

27 

.616894 

28 

.617172 

29 

.617450 

3° 

9.617727 

31 

.618004 

32 

.618281 

33 

.618558 

34 

.618834 

35 

9.619  no 

36 

.619386 

37 

.619  662 

38 

.619938 

39 

.620  213 

40 

9.620  488 

4i 

.620  763 

42 

.621  038 

43 

.621  313 

44 

.621  587 

45 

9.621  861 

46 

.622  135 

47 

.622  409 

48 

.622  682 

49 

.622956 

SO 

9.623  229 

51 

.623  502 

52 

.623  774 

53 

.624  047 

54 

.624319 

55 

9.624  591 

56 

.624  863 

57 

•625  135 

58 

.625  406 

59 

.625  677 

60 

9.625  948 

4-73 
4.72 

4-73 
4.72 
4.70 
4.72 
4.70 
4.70 
4.70 
4.70 
4.68 
4.68 
4.68 
4.68 
4.68 
4.67 
4.67 
4.67 
4.67 
4.65 
4.65 
4.65 
4-65 
4.65 
463 
4-63 
463 
4-63 
4-63 
4.62 

4.62 
4.62 
4.62 
4.60 
4.60 
4.60 
4.60 
4.60 

4-58 
4.58 

4-58 
4.58 
4-58 
4-57 
4-57 
4-57 
4-57 
4-55 
4-57 
4-55 
4-55 
4-53 
4-55 
4-53 
4-53 
4-53 
4-53 
4.52 
4-52 
4-52 

D.  1". 


9.960  730 
.960  674 
.960618 
.960  561 
.960  505 

9.960  448 
.960392 
•960  335 
.960  279 
.960  222 

9.960  165 
.960  109 
.960052 
•959  995 
•959  938 

9.959  882 
•959  825 
•959  768 
•959  7" 
•959'654 

9-959  596 
•959  539 
•959  482 
•959  425 
•959  368 

9.959310 
•959  253 
•959  195 
•959  138 
.959  080 

9-959  023 
•958  965 
.958  908 
.958  850 
.958  792 

9-958  734 
•958  677 
.958619 
•958  561 
•958  5°3 

9958  445 
•958387 
•958  329 
.958271 
.958213 

9-958  154 
.958  096 
.958  038 
•957  979 
.957921 

9-957  863 
•957  804 
•957  746 
•957  687 
.957628 

9-957  57° 
•957  5" 
•957  452 
•957  393 
•957  335 

9-957  276 
Sin. 


•93 
•93 
■95 

•93 
•95 
•93 
•95 
•93 
•95 
•95 
•93 
•95 
•95 
•95 
■93 
•95 
■95 
•95 
•95 
•97 
•95 
•95 
•95 
•95 
•97 
■95 
■97 
•95 
•97 
-95 
•97 
■95 
•97 
■97 
•97 
•95 
•97 
•97 
•97 
•97 
•97 
•97 
■97 
•97 
.98 

•97 
•97 
.98 
•97 
•97 
•98 
•97 


•97 
.98 
■98 
.98 

•97 

.98 

D.  1" 

"65"° 


9.648  583 
.648  923 
.649  263 
.649  602 
.649  942 

9.650  281 
.650  620 

•650959 
.651  297 
.651  636 

9-651974 
■652312 
.652  650 
.652  988 
•653  326 

9.653  663 
.654  000 

•654  337 
•654  674 
.655  on 

9-655  348 
•655  684 
.656020 
.656  356 
.656  692 

9.657028 

•657  364 
.657  699 
.658034 
.658  369 
9.658  704 
.659  039 

•659  373 
.659  708 
.660  042 
9.660  376 
.660  710 
.661  043 
.661  377 
.661  710 

9.662  043 
.662  376 
.662  709 
.663  042 
•663  375 

9.663  707 
.664  039 
•664371 
.664  703 
•665  035 

9.665  366 
.665  698 
.666  029 
.666  360 
.666  691 

9.667  021 
.667  352 
.667  682 
.668013 
•668  343 

9.668  673 
Cot. 


5-67 
5-67 
5-65 
5-67 
5-65 
5-65 
5-65 
5-63 
5-65 
5-63 
5-63 
5-63 

5i3 
563 
5.62 

5.62 
5.62 
5.62 
5.62 
5.62 
5.60 
5.60 
5.60 
5.60 
5.60 
5.60 
5.58 
5-58 
5-58 
5-58 
558 

5-57 
5-58 
5-57 
5-57 
5-57 
5-55 
5-57 
5-55 
5-55 
5-55 
5-55 
5-55 
5-55 
5-53 
5-53 
5-53 
5-53 
5-53 
5.52 

5-53 
5-52 
5-52 
5-52 
5-5° 
5-52 
5.50 
5-52 
5-5° 
5-5° 

D.  1". 


0.351  417 
■35io77 
•35°  737 
•350398 
.350058 

0.349  719 
•349  3S0 
.349041 
•348  703 
•348  364 

0.348026 
•347  688 
•347  35° 
.347012 
.346  674 

0-346  337 
.346  000 
•345  663 
•345  326 
•344  989 

0.344652 
•344  316 
•343  98o 
•343  644 
•343  308 

0.342972 
.342  636 
•342  301 
.341  966 
•341  631 

0.341  296 
.340  961 
.340  627 
.340  292 
•339  958 

0.339  624 
•339  290 
•338  957 
•338  623 
.338  290 

0-337  957 
•337  624 
•337  291 
•336  958 
.336  625 

o-336  293 
•335  96i 
•335  629 
•335  297 
•334  965 

0-334  634 
•334  302 
•333  971 
■333  640 
■333  309 

0.332  979 
.332  648 
.332318 
•33i  987 
■33i  657 

Q-33I  327 
Tan. 


LOGARITHMIC    SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

25° 


43 


9.625  948 
.626  219 
.626  490 
.626  760 
.627  030 

9.627  300 
.627  570 
.627  840 
.628  109 
.628  378 

9.628  647 
.628916 
.629  185 
.629  453 
.629  721 

9.629  989 
.630257 
.630  524 
.630  792 
•631  059 

9.631  326 

.631  593 
.631  859 
.632  125 
.632  392 

9.632  658 
.632  923 
.633  189 
•633  454 
•633  7*9 

9-633  984 
.634  249 
.634514 
.634  778 
.635  042 

9.635  306 
•635  57° 
•635  834 
.636097 
■636  360 

9.636  623 
.636  886 
.637  148 
.637411 
•637  673 

9  637  935 
.638  197 
.638458 
.638  720 
.638981 

9.639  242 
•639  5°3 
•639  764 
.640  024 
.640  284 

9.640  544 
.640  804 
.641  064 
.641  324 
.641  583 

9.641  842 
Cos. 


D.  1". 


4-52 
4-52 
4-5° 
4-5° 
4.50 

4.50 

4-5° 
4.48 
4.48 
4.48 

4.48 
4.48 

4-47 
447 
4-47 
4-47 
4-45 
4-47 
4-45 
4-45 
4-45 
4-43 
4-43 
4-45 
4-43 
4.42 

4-43 
4.42 
4.42 
4.42 
4.42 
4.42 
4.40 
4.40 
4.40 
4.40 
4.40 
4-38 
4-38 
4-38 
4-38 
4-37 
4.38 
4-37 
4-37 
4-37 
4-35 
4-37 
4-35 
4-35 
4-35 
4-35 
4-33 
4-33 
4-33 
4-33 
4-33 
4-33 
4.32 
4-32 

D.  1". 


Cos. 


9.957  276 
•957  217 
•957  158 
.957099 
•957  040 

9-956  9Si 
.956921 
.956  862 
.956  803 
.956  744 

9.956  684 
.956  625 
.956  566 
.956  506 
.956447 

9-956387 
•956327 
.956  268 
.956  208 
.956  148 

9.956  089 
.956029 
•955  969 
•955  909 
•955  849 

9.955  789 
•955  729 
•955  669 
•955  609 
•955  548 

9-955  488 
•955  428 
•955  368 
•955  307 
•955  247 

9-955  lg6 
•955  I26 
•955  o65 
•955  005 
•954  944 

9.954  883 
•954  823 
•954  762 
•954  701 
•954  640 

9-954  579 
■954  5*8 
•954  457 
•954  396 
•954  335 

9.954  274 
•954  213 
■954  152 
•954  090 
•954  029 

9.953968 
•953  906 
•953  845 
•953  783 
•953  722 

9.953660 


D.  1", 


•98 


1. 00 
1. 00 


1. 00 
1. 00 
1. 00 
1. 00 
1. 00 
1. 00 
1. 00 
1. 00 
1.02 
i. 00 
1. 00 
1. 00 
1.02 
1. 00 
1.02 
1. 00 
1.02 
1. 00 
1.02 
1.02 
1. 00 
1.02 
1.02 


1.02 
1.02 
1.02 
1.02 
1.02 
1.03 
1.02 
1.02 
1.03 
1.02 
1.03 
1.02 
1.03 

P.  1" 

64° 


Tan. 


9.668  673 
.669  002 
.669  332 
.669  661 
.669  991 

9.670  320 
.670  649 
.670977 
.671  306 
.671  635 

9.671  963 
.672  291 
.672  619 
.672  947 
.673  274 

9.673  602 
.673  929 
•674  257 
•674  584 
.674911 

9.675  237 

•675  564 
.675  890 
.676217 
.676  543 

9.676  869 
.677  194 
.677  520 
.677  846 
.678171 

9.678  496 
.678821 
.679  146 
.679471 
•679  795 

9.680  1 20 
.680  444 
.680  768 
.681  092 
.681  416 

9.681  740 
.682  063 
.682  387 
.682710 
.683  033 

9.683  356 
.683  679 
.684001 
.684  324 
.684  646 

9.684  968 
.685  290 
.685612 
•685  934 
.686  255 

9.686  577 
.686  898 
.687  219 
.687  540 
.687  861 

9.688  182 
Cot. 


D.  1". 


5.48 
5-5° 
548 
5.50 
548 
5.48 
547 
548 
5.48 
547 
547 
547 
547 
545 
547 
545 
547 
545 
545 
543 
545 
543 
545 
543 
543 
542 
543 
543 
5.42 
542 
542 
542 
5-42 
540 
542 
5-4° 
5.40 
5.40 
540 
540 
5-38 
54° 
5-38 
5-38 
5-38 
5-38 
5-37 
5-38 
5-37 
5-37 
5-37 
5-37 
5-37 
5-35 
5-37 
5-35 
5-35 
5-35 
5-35 
5-35 

D.  1". 


Cot. 


Q-33I  327 
•330  998 
.330  668 
•33°  339 
.330  009 

0.329  680 
•329  35 ! 
•329  023 
.328  694 
•328  365 

0.328  037 
•327  7°9 
•327  381 
•327  053 
.326  726 

0.326  398 
.326071 

•325  743 
.325416 
•325  089 

0.324  763 
•324436 
.324  no 
•323  783 
•323  457 

0.323  131 
.322  806 
.322  480 
.322154 
.321  829 

0.321  504 
.321  179 
.320854 
.320  529 
.320  205 

0.319880 
.319  556 
.319232 
.318908 
.318584 

0.318260 
•317  937 
•317  613 
.317290 
.316967 

0.316644 
.316321 

•3 ' 5  999 
.315676 

•315  354 
0.315032 
.314710 
.314388 
.314066 
•313  745 

0.313423 
.313  102 
.312781 
.312460 
.312139 

0.311  818 
Tan. 


44     LOGARITHMIC   SINES,   COSINES,    TANGENTS,   AND  COTANGENTS. 

26° 


o 

9.641  842 

I 

.642  IOI 

a 

.642  360 

3 

.642618 

4 

.642  877 

5 

9-643  135 

6 

•643  393 

7 

.643  650 

8 

.643  908 

9 

.644  165 

IO 

9.644  423 

ii 

.644  680 

12 

.644  936 

13 

•645  *93 

14 

.645  450 

*5 

9.645  706 

16 

.645  962 

17 

.646218 

18 

.646  474 

19 

.646  729 

20 

9.646  984 

21 

.647  240 

22 

.647  494 

23 

.647  749 

24 

.648  004 

2.5 

9.648  258 

26 

.648512 

27 

.648  766 

28 

.649  020 

29 

.649  274 

30 

9.649  527 

31 

.649  781 

32 

.650034 

33 

.650  287 

34 

•650  539 

35 

9.650  792 

36 

.651044 

37 

.651  297 

38 

•651  549 

39 

.651  800 

40 

9.652052 

4i 

.652  304 

42 

.652555 

43 

.652  806 

44 

•653  057 

45 

9.653  308 

46 

•653  558 

47 

.653  808 

48 

.654059 

49 

•654  3°9 

5o 

9-654  558 

5i 

.654  808 

52 

.655  058 

53 

•655  307 

54 

•655  556 

55 

9655  805 

56 

.656054 

57 

.656302 

58 

.656551 

59 

.656  799 

60 

9.657  047 

Cos. 


D.  1". 


4-32 
4-32 
4-30 
4-32 
4-30 
4-30 
4.28 

4-3° 
4.28 

4-30 
4.28 
4.27 
4.28 
4.28 
4.27 
4.27 
4.27 
4.27 
4.25 
4.25 
4.27 
4-23 
4.25 
4.25 
4.23 
4-23 
4-23 
4-23 
4-23 
4.22 

4-23 
4.22 
4.22 
4.20 
4.22 
4.20 
4.22 
4.20 
4.18 
4.20 
4.20 
4.18 
4.18 
4.18 
4.18 
4.17 
4.17 
4.18 
4.17 
4-15 
4.17 
4.17 
4.15 
4.15 
4.15 

4-15 
413 
4.15 

4'3 

4-13 


Cos. 


9.953  660 
•953  599 
•953  537 
•953  475 
•953  413 

9-953  352 
•953  290 
•953  228 
•953  166 
•953  104 

9.953  042 
.952980 
.952918 
•952855 
•952  793 

9-95273i 
.952  669 
.952  606 
•952  544 
.952481 

9.952419 
•952  356 
•952  294 
•952  231 
.952  168 

9.952  106 
•952  043 
.951  980 
.951917 
•95 r  854 

9-95 l  79i 
•95 l  728 
.951  665 
.951  602 
•95 !  539 

9.951476 
.951412 

•95  *  349 
.951  286 
.951  222 

9-95 J  '59 
.951096 
.951032 
.950  968 
.950  905 

9.950  841 
.950  778 
.950714 
.950  650 
.950  586 

9.950  522 
•950458 
•95°  394 
•95°  330 
.950  266 

9.950  202 
.950  138 
.950074 
.950010 
■949  945 

9-949  881 
Sin. 


D.  1". 


Tan. 


9.688  182 
.688  502 
.688  823 
■689  143 
•  689  463 

9-689  783 
.690  103 
.690  423 
.690  742 
.691  062 

9.691  381 
.691  700 
.692019 
.692  338 
.692  656 

9.692  975 

•693  293 
.693612 

•693  930 
.694  248 

9.694  566 
.694  883 
.695  201 
.695518 
•695  836 

9.696  153 
.696  470 
.696  787 
•697  103 
.697  420 

9.697  736 
•698053 
.698  369 
.698  685 
.699001 

9.699316 
•699  632 
•699  947 
.700  263 
.700  578 

9.700  893 
.701  208 

•7°i  523 
.701  837 
.702  152 
9.702  466 
.702  781 
.703  095 
.703  409 
.703  722 

9.704  036 
.704  350 
.704  663 
.704  976 
.705  290 

9.705  603 
.705916 
.706  228 
.706  541 
.706854 

9.707  166 
Cot. 


D.  1" 


5-33 
5-35 
5-33 
5-33 
5-33 
5-33 
5-33 
5-32 
5-33 
5-32 
5-32 
5-32 
5-32 
5-30 
5-32 

5-30 
5-32 
5-30 
5-3o 
5-30 
5.28 
5-30 
5.28 
5-30 
5.28 

5.28 
5.28 
5-27 
5-28 
5.27 
5.28 

5-27 
5.27 

5-27 
5-25 
5-27 
5-25 
5-27 
5-25 
5-25 
5-25 
5-25 
5-23 
5-25 
5-23 
5-25 
5-23 
5-23 
5.22 

5-23 

5-23 
5.22 
5.22 

5-23 
5.22 

5.22 
5.20 
5.22 
5.22 
5.20 

D.  1". 


Cot. 


0.31 1  818 

.311498 

•3"  177 

.310857 

•3io537 
0.310  217 

.309  897 

•309  577 
.309  258 
•308  938 

0.308  619 
.308  300 
.307  981 
.307  662 
•307  344 

0.307  025 
.306  707 
•306  388 
.306  070 
•305  752 

0.305  434 
•305  "7 
•304  799 
•3°4  482 
.304  164 

0.303  847 
•303  530 
•303213 
.302  897 
.302  580 

0.302  264 
•301  947 
.301  631 
•301  315 
.300  999 

0.300  684 
•3°o  368 
.300053 

■299  737 
.299422 

0.299  io7 
.298  792 
.298477 
.298  163 
.297  848 

0.297  534 
.297219 
.296  905 
.296  591 
.296  278 

0.295  964 
.295  650 

•295  337 
.295  024 
.294710 

0.294  397 
.294  084 
•293  772 
•293  459 
.293  146 

0.292  834 

Tan. 


63° 


LOGARITHMIC    SINES, 


COSINES,   TANGENTS, 

27° 


AND  COTANGENTS.  45 


13 
14 

15 
16 
17 
18 
19 
20 
21 
22 
23 
24 

25 
26 
27 
28 
29 
30 
31 
32 
33 
34 
35 
36 
37 
38 
39 
40 
4i 
42 
43 
44 

45 
46 
47 
48 
49 
50 
5i 
52 
53 
54 
55 
5S 
57 
58 
59 
60 


Sin. 


9.657047 
•657  295 
•657  542 
.657  790 
.658  037 

9.658  284 
.658531 
.658  778 
.659025 
.659271 

9-659  5*7 
.659  763 
.660  009 
.660255 
.660  501 

9.660  746 
.660991 
.661  236 
.661  481 
.661  726 

9.661  970 
.662  214 
.662  459 
.662  703 
.662  946 

9.663  190 
•663  433 
.663  677 
.663  920 
.664  163 

9.664  406 
.664  648 
.664  891 
•665  133 
•665  375 

9.665  617 
.665  859 
.666  100 
.666  342 
.666  583 

9.666  824 
.667  065 
.667  305 
.667  546 
.667  786 

9.668027 
.668  267 
.668  506 
.668  746 
.668  986 

9.669  225 
.669  464 
■669  703 
.669  942 
.670  181 

9.670419 
.670  658 
.670  896 
.671 134 
.671  372 

9.671  609 
Cos. 


D.  1". 


413 

4.12 

4-13 
4.12 
4.12 
4.12 
4.12 
4.12 
4.10 
4.10 
4.10 
4.10 
4.10 
4.10 
4.08 
4.08 
4.08 
4.08 
4.08 
4.07 
4.07 
4.08 
4.07 
4-05 
4.07 

4.05 
4.07 
4-05 
4-05 
4-05 
4°3 
4-05 
403 
403 
403 

4-°3 
4.02 

4-03 
4.02 
4.02 
4.02 
4.00 
4.02 
4.00 
4.02 
4.00 
3-98 
4.00 
4.00 
3-98 
3-98 
3-98 
3-98 
3-98 
3-97 
3-98 
3-97 
3-97 
3-97 
3-95 

D.  1". 


Cos, 


9.949  881 
.949  816 

•949  75 2 
.949  688 
•949  623 
9.949  558 
•949  494 
•949  429 
•949  364 
•949  3°o 

9-949  235 
.949170 

•949  105 
•949  040 
.948  975 

9.948910 
.948  845 
.948  780 
.948  715 
.948  650 

9.948  584 
.948519 
•948  454 
.948  388 
•948  323 

9.948  257 
.948  192 
.948  126 
.948  060 
•947  995 

9.947  929 
.947  863 
•947  797 
•947  73i 
•947  665 

9.947  600 
•947  533 
•947  467 
•947  401 
•947  335 

9.947  269 
•947  203 
•947  x36 
•947  °7° 
.947  004 

9-946  937 
.946871 
.946  804 
•946  738 
.946671 

9.946  604 
•946  538 
.946471 
.946  404 
•946  337 

9.946  270 
•946  203 
.946  136 
.946  069 
.946  002 

9-945  935 
Sin. 


D.l' 


Tan. 


I.07 
I.07 
I.08 
I.08 
I.07 
I.08 
I.08 
I.07 
I.08 
I.08 
I.08 
I.08 
I.08 
I.08 
I.08 
I.08 
I.08 
I.08 
I. IO 
I.08 
I.08 
I. IO 
I.08 
I.IO 

1.08 

I.IO 
I.IO 

1.08 

I.IO 
I.IO 


1.08 

1. 12 
I.IO 
I.IO 
I.IO 
I.IO 
I.IO 
1. 12 
I.IO 
I.IO 
1. 12 
I.IO 
1. 12 
I.IO 


1. 12 
1. 12 
1. 12 
1. 12 
1. 12 
1. 12 


D.  1", 

6^ 


9.707 166 
.707478 
.707  790 
.708  102 
.708414 

9.708  726 
.709  037 

•7°9  349 
.709  660 
.709971 

9.710  282 

•7io593 
.710904 
.711  215 
•7"  525 

9.71 1  836 
.712146 
.712456 
.712  766 
.713076 

9-7!3  386 
.713696 
.714005 

•7*4  314 
.714624 

9-7*4  933 
.715242 
•7!5  55i 
.715  860 
.716  168 

9.716477 
.716785 
.717093 
.717401 
.717709 

9.718017 

.718325 
.718633 
.718940 
.719248 

9-719  555 
.719862 
.720  169 
.720476 
.720  783 

9.721  089 
.721  396 
.721  702 
.722  009 
.722315 

9.722  621 
.722927 
.723  232 
•723  538 
.723  844 

9.724  149 

•724  454 
.724  760 
.725  065 
•725  370 

9.725  674 


D.  1' 


Cot. 


5.20 
5.20 
5.20 
5.20 
5.20 
5.18 
5.20 
5.18 
5.18 
5.18 
5.18 
5.18 
5.18 

5-I7> 
5.18 

5-i7 
5-!7 
5-i7 
5-!7 
5-'7 
5-17 
5-^5 
S'5 
5-J7 
5-i5 
5-i5 
5i5 
5i5 
S-l3 
5-15 
5-13 
5-i3 
5-13 
5-13 
5-13 
S-l3 
5-'3 
5.12 

5-13 
5.12 

5.12 
5.12 
5.12 
512 
5.10 

5-i2 
5-i° 

5-i2 

5.10 
5.10 

510 
5.08 
5.10 
5.10 

5.08 
5.08 

5.10 

5.08 
5.08 

5.07 


Cot, 


0.292  834 
.292  522 
.292  210 
.291  898 
.291  586 
0.291  274 
.290  963 
.290651 
.290  340 
.290  029 
0.289718 
.2S9  407 
.289  096 
.288  785 
.288475 
0.288  164 
.287854 
.287  544 
.287  234 
.286  924 
0.286614 
.286  304 
•285  995 
.285  686 
.285  376 
0.285  067 
•284  758 
.284  449 
.284  140 
.283  832 
0.283  523 
.283215 
.282  907 
.282  599 
.282  291 
0.281  983 
.281  675 
.281  367 
.281  060 
.280  752 
0.280  445 
.280  138 
•279  831 
.279  524 
.279217 

0.278  91 1 
.278  604 
.278  298 
.277991 
.277  685 

0.277  379 
.277073 
.276  768 
.276  462 
.276  156 

0.275  851 
•275  546 
.275  240 
.274  935 
.274  630 

0.274  326 


D.  1". 


Tan. 


60 
59 
58 
57 
56 

55 
54 
53 
52 
5i 
50 
49 
48 
47 
46 

45 
44 
43 
42 
4i 
40 
39 
38 
37 
36 

35 
34 
33 
32 
31 
3° 
29 
28 

27 
26 

25 
24 
23 
22 
21 


46     LOGARITHMIC   SINES,   COSINES,   TANGENTS,  AND   COTANGENTS. 

28° 


Sin, 


o 

9.671  609 

I 

.671  847 

2 

.672  084 

3 

.672  321 

4 

.672558 

5 

9.672  795 

6 

.673032 

7 

.673  268 

8 

•673  505 

9 

•673  74i 

to 

9-673  977 

ii 

.674213 

12 

.674  448 

13 

.674  6S4 

14 

.674919 

15 

9-675  155 

16 

•675  390 

*7 

.675  624 

18 

.675  859 

19 

.676094 

20 

9.676  328 

21 

.676562 

22 

.676  796 

23 

•677  030 

24 

.677  264 

25 

9.677  498 

26 

.677  731 

27 

.677  964 

28 

.678  197 

29 

.678  430 

30 

9.678  663 

31 

.678  895 

32 

.679  128 

33 

■679  360 

34 

.679  592 

35 

9.679  824 

36 

.680  056 

37 

.680  288 

38 

.680519 

39 

'  .680  750 

40 

9.680  982 

4i 

.681  213 

42 

.681  443 

43 

.681  674 

44 

.681  905 

45 

9.682  135 

46 

.682  365 

47 

•682  595 

48 

.682  825 

49 

.683055 

50 

9.683  284 

5i 

.683514 

52 

•683  743 

53 

.683  972 

54 

.684  201 

55 

9.684  430 

56 

.684  658 

57 

.684  887 

58 

•685  115 

59 

•685  343 

60 

9.685  571 

D.  1' 


Cos. 


3-97 
3-95 
3-95 
3-95 
3-95 
3-95 
3-93 
3-95 
3-93 
3-93 
3-93 
3-92 
3-93 
3-92 
3-93 
3-92 
3-9° 
3-92 
3-92 
3-9° 
3-90 
3-90 
3-9° 
3-90 
3-90 
3-88 
3-88 
3-88 
3-88 
3-88 

3-87 
3-88 
3.87 
3-87 
3-87 
3-87 
3.87 
3-85 
3.85 
3-87 
3-85 
3*3 
3.85 
3-85 
3-83 
3-83 
3-83 
3-83 
3-83 
3-82 

3-83 
3-82 
3-82 
3-82 
3.82 
3.80 
3.82 
3-8o 
3.80 
3-8o 

D.  1". 


Cos. 


ID.  1' 


9-945  935 
.945  868 
.945  800 

•945  733 
.945  666 

9-945  598 
•945  53i 
•945  464 
•945  396 
•945  328 

9.945  261 
•945  l93 
•945  I25 
•945  °58 
•944  99° 

9.944  922 
•944  854 
•944  786 
.944718 
•944  650 

9.944  582 
•944  5 14 
•944  446 
•944  377 
•944  3°9 

9.944  241 
.944172 
•944  104 
.944036 
•943  967 

9-943  899 
•943  830 
•943  761 
•943  693 
•943  624 

9-943  555 
•943  486 
•943  417 
•943  348 
•943  279 

9.943  210 
•943  Hi 
•943  072 
•943  003 
•942  934 

9.942  864 
•942  795 
.942  726 
.942  656 
•942  587 

9-942  5I7 
•942  448 
.942  378 
.942  308 
•942  239 

9.942  169 
.942  099 
.942  029 
.941  959 
.941  889 

9.941  819 


1. 12 

113 
1. 12 
1. 12 
'•13 


113 
113 
1. 12 

113 
I.I3 

1. 12 

113 
1.13 
IJ3 
113 
1.13 
113 
i-'3 
113 
i->3 
115 
i-i3 
113 
115 
113 
113 
"5 
113 

!-!5 

"5 

113 
IX5 
1. 15 

1. 15 
115 
i-*5 
1. 15 

i-i5 
1. 15 
1.15 
1. 15 

i-i5 
1. 17 

1. 15 
1.15 

1. 17 

JI5 
1.17 

115 
1. 17 
1. 17 
1.15 
1. 17 
1. 17 
1. 17 
1. 17 
1. 17 
1. 17 

P.  1". 
61° 


Tan. 


725  674 

725  979 

726  284 
726  588 

726  892 

727  197 
727501 

727  805 

728  109 
728412 
728716 

729  020 

729  323 
729  626 

729  929 

730  233 

730  535 
730838 

731  Hi 
731  444 

731  746 

732  048 
732  351 
732  653 

732  955 

733  257 
733  558 

733  860 

734  162 
734  463 

734  764 

735  °66 
735  367 
735  668 

735  969 

736  269 
736  570 

736  870 

737  I71 
737  471 

737  771 
738071 

738  371 
738671 

738  971 

739  271 
739  570 

739  870 

740  169 
740  468 

740  767 

741  066 

741  365 
741  664 

741  962 

742  261 
742  559 

742  858 

743  156 
743  45" 
743  752 

Cot. 


D.  1' 


5.08 
5.08 

5-07 
5.07 
5.08 
5.07 

5-07 
5.07 

5-05 
5.07 

5-07 
5-05 
5-05 
5-05 
5-07 
5-°3 
5-05 
5-05 
5-05 
5-03 
5-03 
5-05 
5-°3 
5-°3 
5-°3 
5.02 
5-°3 
5-°3 
5.02 
5.02 

503 
5.02 
5.02 
5.02 
5.00 
5.02 
5.00 
5.02 
5.00 
5.00 
5.00 
5.00 
5.00 
5.00 
5.00 

4.98 
5.00 
4.98 
4.98 
4.98 
4.98 
4.98 
4.98 
4-97 
4.98 

4-97 
4.98 

4-97 
4-97 
4-97 

D.  1". 


Cot. 


0.274  326 
.274021 
.273716 
.273412 
.273  108 

0.272  803 
•272  499 
.272  195 
.271  891 
.271  588 

0.271  284 
.270  980 
.270  677 
.270374 
.270071 

0.269  767 
.269  465 
.269  162 
.268  859 
.268  556 

0.268  254 
.267  952 
.267  649 
•267  347 
•267  045 

0.266  743 
.266442 
.266  140 
•265  838 
•265  537 

0.265  236 
.264  934 
.264  633 
•264  332 
.264031 

0.263  73 l 
•263  430 
.263  130 
.262  829 
.262  529 

0.262  229 
.261  929 
.261  629 
.261  329 
.261  029 

0.260  729 
.260  430 
.260  130 
•259831 
•259  532 

0.259  233 
•258  934 
.258  635 
•258  336 
.258  038 

0.257  739 
.257441 
.257  142 
.256  844 
.256  546 

0.256  248 
Tan. 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.     47 

29° 


Sin. 


0 

9.685  571 

I 

.685  799 

2 

.686  027 

3 

.686  254 

4 

.686  482 

5 

9.686  709 

6 

.686  936 

7 

.687  163 

8 

.687  389 

9 

.687  616 

10 

9.687  843 

11 

.688  069 

12 

.688  295 

13 

.688  521 

14 

.688  747 

15 

9.688972 

16 

.689  198 

17 

.689  423 

18 

.689  648 

19 

.689  873 

20 

9.690  098 

21 

.690  323 

22 

.690  548 

2.3 

.690  772 

24 

.690  996 

25 

9.691  220 

26 

.691  444 

27 

.691  668 

28 

.691  892 

29 

.692115 

30 

9-692  339 

3i 

.692  562 

32 

.692  785 

33 

.693  008 

34 

.693  231 

35 

9-693  453 

36 

.693  676 

37 

.693  898 

38 

.694  120 

39 

•694  342 

40 

9.694  564 

4i 

.694  786 

42 

.695  007 

43 

.695  229 

44 

.695  450 

45 

9.695  671 

46 

.695  892 

47 

.696113 

48 

.696  334 

49 

.696  554 

50 

9.696  775 

51 

.696  995 

52 

.697215 

53 

•697  435 

54 

•697  654 

55 

9.697  874 

56 

.698  094 

57 

■698313 

58 

.698  532 

59 

.698751 

60 

9.698  970 

D,  1' 


3.80 
3.80 
3-78 
3-8o 
3-78 
3-78 
3-78 
377 
3-78 
3-78 
3-77 
3-77 
3-77 
3-77 
3-75 
3-77 
3-75 
3-75 
3-75 
375 
375 
375 
373 
373 
373 
3-73 
373 
373 
372 
3-73 
3-72 
3-72 
372 
372 
370 
3-72 
3-7° 
37° 
3-7o 
3-7° 

3-7° 
3.68 
37o 
3.68 
3-68 
3-68 
3-68 
3-68 
3-67 
3-68 

3-67 
3-67 
3.67 
3-65 
367 
3-67 
3.65 
3-65 
3-65 
3-65 

D.  1". 


Cos. 


9.941  819 
.941  749 
.941  679 
.941  609 
•94i  539 

9.941  469 
.941  398 
.941  328 
.941  258 
.941  187 

9.941  117 
.941  046 
.940  975 
.940  905 
.940  834 

9.940  763 
.940  693 
.940  622 
•940  55 1 
.940  480 

9.940  409 
•940  338 
.940  267 
.940  196 
.940  125 

9.940  054 
•939  982 
.939911 
•939  840 
•939  768 

9-939  697 
•939  625 
•939  554 
•939  482 
.939410 

9-939  339 
•939  267 
•939  195 
•939123 
•939052 

9.938  980 
.938  908 
•938  836 
•938  763 
.938691 

9.938619 
•938  547 
•938  475 
.938  402 
•938  33° 

9.938  258 
.938  185 
.938  113 
•938  040 
■937  967 

9-937  895 
•937  822 
•937  749 
•937676 
•937  604 

9-937  531 
Sin. 


D.  1' 


P.  1". 
60° 


Tan. 


9743  752 
.744050 
744  348 
744  645 
744  943 

9.745  240 
•745  538 
•745  835 
.746  132 

746429 

9.746  726 
747  °23 
747  319 
.747  616 

747  913 

9.748  209 

748  505 
.748  801 

749  097 
749  393 

9.749  689 

749  985 
.750  281 
.750576 
.750872 

9.751  167 
.751462 

•75i  757 
•752052 

•752  347 

9.752  642 
•752  937 
753  231 

753  526 
.753820 

9.754  115 
•754  409 

754  7°3 

754  997 

755  291 
9755  585 

755  878 
.756172 
756465 

756  759 

9757  052 
•757  345 

757  638 
757  931 
.758224 

9758  517 
.758810 
.759  102 
759  395 
759  687 

9759  979 
.760  272 
.760  564 
.760856 
.761  148 

976i  439 
Cot, 


D.  1" 


4-97 
4-97 
4-95 
4-97 
4-95 
4-97 
4-95 
4-95 
4-95 
4-95 
4-95 
4-93 
4-95 
4-95 
4-93 
4-93 
4-93 
4-93 
4-93 
4-93 
4-93 
4-93 
4.92 

4-93 

4.92 

4.92 
4.92 
4.92 
4.92 
4.92 
4.92 
4.90 
4.92 
4.90 
4.92 
4.90 
4.90 
4.90 
4.90 
4.90 
4.88 
4.90 
4.88 
4.90 
4.88 
4.88 
4.88 
4.88 
4.88 
4.88 
4.88 
4.87 
4.88 
4.87 
4.87 
4.88 
4.87 
4.87 
4.87 
4.85 

D.  1". 


0.256  248 

60 

•255  950 

59 

•255652 

58 

•255  355 

57 

•255057 

5b 

0.254  760 

55 

•254462 

54 

.254  165 
.253  S68 

53 

52 

•253  571 

5x 

0.253  274 

50 

•252  977 

49 

.252681 

48 

•252  384 

47 

.252087 

46 

0.251  791 

45 

•251495 

44 

.251  199 

43 

•250  903 

42 

.250  607 

4i 

0.250  31 1 

40 

.250015 

39 

•249  719 

38 

.249  424 

37 

.249  128 

36 

0.248  833 

3S 

.248  538 

34 

•248  243 

33 

.247  948 

32 

•247  653 

3i 

0.247  358 

30 

•247  063 

29 

.246  769 

28 

•246  474 

27 

.246  180 

26 

0.245  885 

25 

•245  59i 

24 

•245  297 

23 

•245  o°3 

22 

•244  7°9 

21 

0.244415 

20 

.244  122 

19 

.243  828 

18 

•243  535 

17 

.243  241 

ib 

0.242  948 

15 

•242  655 

14 

.242  362 

13 

.242  069 

12 

.241  776 

11 

0.241  483 

10 

.241  190 

9 

.240  898 

8 

.240  605 

7 

.240313 

6 

0.240021 

5 

•239  728 

4 

•239  436 

3 

•239  144 

2 

.238852 

1 

0.238  561 

0 

48 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

30° 


Bin, 


D.  1' 


Cos. 


Tan, 


D.  1", 


o 

9.698  970 

I 

.699  189 

2 

.699  407 

3 

.699  626 

4 

.699  844 

S 

9.700062 

6 

.700  280 

7 

.700498 

8 

.700716 

9 

•7°o  933 

IO 

9.701  151 

ii 

.701  368 

12 

•7°!  585 

13 

.701  802 

14 

.702019 

15 

9.702  236 

ib 

.702452 

17 

.702669 

18 

.702885 

19 

.703  IOI 

20 

9-7°3  3i7 

21 

•703  533 

22 

•7°3  749 

23 

.703964 

24 

.704179 

25 

9- 7°4  395 

26 

.704610 

27 

.704825 

28 

.705  040 

29 

.705  254 

30 

9.705  469 

31 

.705  683 

32 

.705  898 

33 

.706  112 

34 

.706326 

35 

9706  539 

3b 

.706  753 

37 

.706  967 

3« 

.707  180 

39 

•707  393 

40 

9.707  606 

4i 

.707819 

42 

.708032 

43 

.708  245 

44 

•708  458 

4S 

9.708  670 

46 

.708882 

47 

.709  094 

48 

.709  306 

49 

.709518 

50 

9.709  730 

5i 

.709941 

52 

•710  153 

53 

.710364 

54 

•710  575 

55 

9.710  786 

56 

.710997 

57 

.711  208 

58 

.711419 

59 

.711  629 

60 

9.7 1 1  839 

3-65 
3.63 

3-65 
3-63 
3-63 
3-63 
3.63 
3-63 
3-62 
3-63 
3.62 
3.62 
3.62 
3.62 
3.62 
3.60 
3.62 
3.60 
3.60 
3.60 
3.60 
3.60 
3.58 
3-58 
3.60 

3-58 
3-58 
3.58 

3'Sl 
3-58 

3-58 
3-57 
3-57 
3-55 
3-57 
3-57 
3-55 
3-55 
3-55 
3-55 
3-55 
3-55 
3-55 
3-53 
3-53 
3-53 
3-53 
3-53 
3-53 
3-52 
3-53 
3-52 
3-52 
3-52 
3-52 
3-52 
3-52 
3-50 
3-50 

D.  1". 


9-937  531 
•937  458 
•937  385 
•937  312 
•937  238 

9-937  165 
•937  092 
.937019 
.936  946 
.936872 

9-936  799 
•936  725 
•936652 
•936  578 
•936  505 

9-936  431 
•936  357 
.936  284 
.936210 
•936  136 

9.936062 
•935  988 
•935  914 
•935  840 
•935  766 

9-935  692 
•935  618 
•935  543 
•935  469 
•935  395 

9-935  320 
•935  246 
•935  171 
•935  097 
•935  022 

9-934  948 
•934  873 
•934  798 
•934  723 
•934  649 

9-934  574 
•934  499 
•934  424 
•934  349 
•934  274 

9-934  199 
•934123 
•934  048 
•933  973 
•933  898 

9.933  822 
•933  747 
•933  671 
•933  596 
•933  520 

9-933  445 
•933  369 
•933  293 
•933  217 
•933  Hi 

9-933  066 
.    Sin. 


D.  1". 

59° 


9-761  439 
.761  731 
.762  023 
.762314 
.762  606 

9.762897 
.763  188 
•763479 
.763  770 
.764061 

9-764352 
•764643 
•764  933 
•765  224 
•7655H 

9-765  805 
.766095 
.766  385 
.766675 
.766  965 

9.767255 

•767  545 
.767  834 
.768  124 
.768414 

9.768  703 
.768992 
.769  281 
.769571 
.769  860 

9.770  148 

•770437 
.770  726 
.771015 
•771  303 

9.771 592 
.771  880 
.772  168 
•772457 
•772  745 

9773033 
•773321 

•773  608 
•773  896 
.774184 

9-774  471 
•774  759 
•775  046 
•775  333 
.775621 

9.775  908 
.776195 
.776482 
.776768 
•777  055 

9-777  342 
.777628 

•777  915 
.778  201 
.778488 

9-778  774 

Cot, 


4.87 
4.87 
4-85 
4.87 
4-85 
4-85 
4.85 
4-85 
4-85 
4.85 

4-85 
4.83 
4-85 
4-83 
4.85 

4-83 
4-83 
4-83 
4-83 
4-83 
4-83 
4.82 
4-83 
4-83 
4.82 

4.82 
4.82 
4-83 
4.82 
4.80 
4.82 
4.82 
4.82 
4.80 
4.82 
4.80 
4.80 
4.82 
4.80 
4.80 
4.80 
4.78 
4.80 
4.80 
4.78 
4.80 
4.78 
4.78 
4.80 
4.78 
4.78 
4.78 
4-77 
4.78 
4.78 

4-77 
4.78 
4-77 
4.78 

4-77 
D.  1". 


0.238  561 

60 

.238  269 

59 

•237977 

58 

.237  686 

57 

•237  394 

56 

0.237  io3 

55 

.236812 

54 

.236521 

53 

.236  230 

52 

•235  939 

5i 

0.235  648 

5o 

•235  357 

49 

•235  067 

48 

•234  776 

47 

•234  486 

46 

0.234  195 

45 

•233  905 

44 

■233615 

43 

•233  325 

42 

•233  035 

41 

0.232  745 

40 

■232  455 

39 

.232  166 

38 

.231  876 

37 

.231  586 

36 

0.231  297 

35 

.231  008 

34 

.230719 

33 

.230429 

32 

.230  140 

3i 

0.229  852 

30 

•229  563 

29 

.229  274 

28 

.228  985 

27 

.228697 

26 

0.228  408 

25 

.228  120 

24 

.227  832 

23 

•227  543 

22 

.227255 

21 

0.226  967 

20 

.226679 

19 

.226392 

18 

.226  104 

17 

.225816 

16 

0.225  529 

15 

.225  241 

14 

•224954 

13 

.224  667 

12 

•224  379 

II 

0.224092 

10 

.223  S05 

9 

.223518 

8 

.223  232 

7 

.222  945 

6 

0.222  658 

5 

.222  372 

4 

.222085 

3 

.221  799 

2 

.221  512 

1 

0.221  226 

0 

Tan. 


LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

31° 


AND   COTANGENTS.    49 


23 
24 

25 
26 
27 
28 
29 
30 
31 
32 
33 
34 
35 
36 
37 
38 
39 
40 
41 
42 
43 
44 

45 
46 
47 
48 
49 
50 
5i 
52 
53 
54 
55 
56 
57 
58 
59 
60 


Bin, 


9.71 1  839 
.712050 
.712  260 
.712469 
.712679 

9.712  889 
.713098 
•7!3  3o8 
•713  5»7 
.713726 

9-7J3  935 
.714  144 

•7!4  352 
.714561 
.714769 

9.714978 
.715186 
•715  394 
.715  602 
.715  809 

9.716017 
.716224 
.716432 
.716639 
.716846 

9717  °53 
.717259 
.717466 
.717673 
.717879 

9.718085 
.718291 

.718497 
.718703 
.718909 

9.719  114 
.719320 

•719  525 
.719730 

•719  935 

9.720  140 
•720  345 
.720  549 
.720  754 
.720958 

9.721  162 
.721  366 
.721  570 
.721  774 
.721  978 

9.722  181 
.722385 
.722588 
.722791 
.722  994 

9.723  197 
.723  400 
.723  603 
.723  805 
.724  007 

9.724  210 
Cos. 


D.  1' 


3-52 
3-5°. 
348 
3-50 
3-50 
3-48 
3-5° 
3-48 
348 
348 
348 
347 
348 
347 
348 

347 
347 
347 
345 
347 
345 
347 
345 
345 
345 
343 
345 
345 
343 
343 
343 
343 
343 
343 
342 

343 
342 
342 
342 
342 
342 
340 
342 
340 
340 
340 
340 
340 
340 
3.38 
34° 
3-38 
3-38 
338 
3-38 
3-38 
3-38 
3-37 
3-37 
3-38 

D.  1". 


Cos. 


9.933  066 
.932  990 
.932914 
.932838 
.932  762 

9.932  685 
.932  609 
•932  533 
•932  457 
.932  380 

9-932  304 
.932  228 

•932  151 

•932075 

.931  998 

9.931  921 

•93i  845 
.931  768 
.931  691 
.931  614 

9-931  537 
.931  460 

•931  383 
.931  306 
.931  229 

9-931  152 
•93i  075 
.930  998 
.930921 
•930  843 

9.930  766 
.930  688 
.930611 

•930  533 
.930456 

9-93°  378 
.930  300 
.930  223 

•930  145 
.930067 

9.929  989 
.929911 
•929  833 
•929  755 
.929  677 

9-929  599 
.929  521 

•929  442 
•929  364 
.929  286 

9.929  207 
.929  129 
.929  050 
.928  972 
.928  893 

9.928815 
.928  736 
•928  657 
.928  578 
•928  499 

9.928  420 


D.  1", 


1.27 
1.27 
1.27 
1.27 
1.28 
1.27 
1.27 
1.27 
1.28 
1.27 
1.27 
1.28 
1.27 
1.28 
1.28 
1.27 
1.28 
1.28 
1.28 
1.28 
1.28 
1.28 
1.28 
1.28 
1.28 
1.28 
1.28 
1.28 
1.30 
1.28 
1.30 
1.28 
1.30 
1.28 


1.30 
1.28 
1.30 
1.30 
1.30 

1.30 
1.30 
1.30 
1.30 
1.30 
1.30 
1.32 
1.30 
1.30 
1.32 
1.30 
1.32 
1.30 
1.32 
1.30 
1.32 
1.32 
1.32 
1.32 
1.32 

P.  1" 

58° 


Tan, 


9.778774 
.779  060 
•779  346 
•779  632 
.779918 

9.780  203 
.780  489 
.780  775 
.781 060 
.781  346 

9.781  631 
.781  916 
.782  201 
.782  486 
.782771 
.783056 

783  34i 
.783626 
.783910 
.784  195 
.784  479 
.784  764 
.785  048 
•785  332 
.785616 

.785  900 
.786  184 
.786  468 
.786752 
.787  036 
•787  319 
.787  603 
.787  886 
.788  170 
""'453 
.788  736 
.789019 
.789  302 

•789  585 
.789  868 

.790151 
.790  434 
.790  716 
.790  999 
.791  281 

•791  563 
.791  846 
.792  128 
.792410 
,792  692 

792  974 

793  256 

793  538 
793819 

794  101 
794  383 
794  664 

794  946 

795  227 
795  5°8 
795  789 

Cot. 


D.  1". 


4-77 

4-77 
4-77 
477 
4-75 
4-77 
4-77 
4-75 
4-77 
4-75 
4-75 
4-75 
4-75 
4-75 
4-75 
4-75 
4-75 
4-73 
4-75 
4-73 
4-75 
4-73 
4-73 
4-73 
4-73 
4-73 
4-73 
4-73 
4-73 
4.72 

4-73 
4.72 

4-73 
4.72 
4.72 
4.72 
4.72 
4.72 
4.72 
4.72 
4.72 
4.70 
4.72 
4.70 
4.70 
4.72 
4.70 
4.70 
4.70 
4.70 
4.70 
4.70 
4.68 
4.70 
4.70 
4.68 
4.70 
4.68 
4.68 
4.68 

D.  1". 


Cot. 


0.221  226 
.220  940 
.220  654 
.220  368 
.220  082 

0.219  797 
.219511 
.219  225 
.2 1 8  940 
.218  654 

0.218  369 
.218084 
•217  799 
.217514 
.217  229 

0.216  944 
.216  659 
.216374 
.216090 
.215  805 

0.215  521 
.215  236 
.214952 
.214668 
.214384 

0.214  100 
.213816 
•213  532 
.213248 
.212  964 

0.212  681 
.212397 
.212  114 
.211  830 
.211547 

0.21 1  264 
.210981 
.210  698 
.210415 
.210  132 

0.209  849 
.209  566 
.209  284 
.209001 
.208  719 

0.208  437 
.208  154 
.207872 
.207  590 
.207  308 

0.207  026 
.206  744 
.206  462 
.206  181 
.205  899 

0.205  617 
•205  336 
.205  054 
•204  773 
.204492 

0.204  211 
Tan. 


50     LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

32° 


Sin. 


D.  1". 


Cos. 


D.  1". 


Tan, 


D.  1' 


Cot. 


o 

9.724  210 

I 

.724412 

2 

.724614 

3 

.724816 

4 

.725017 

5 

9.725  219 

6 

.725  420 

7 

.725  622 

8 

.725  823 

9 

.726  024 

IO 

9.726  225 

ii 

.726426 

12 

.726  626 

13 

.726827 

14 

.727027 

15 

9.727  228 

16 

.727428 

17 

.727  628 

iS 

.727  828 

19 

-  .728027 

20 

9.728  227 

21 

.728  427 

22 

.728  626 

23 

.728825 

24 

.729024 

25 

9.729  223 

2b 

.729422 

27 

.729  621 

28 

.729  820 

29 

.730018 

30 

9.730217 

31 

•73041S 

32 

•730613 

33 

.730811 

34 

.731009 

35 

9.731  206 

36 

.731  404 

37 

.731  602 

38 

•73i  799 

39 

.731  996 

40 

9-732  193 

4i 

•732  390 

42 

•732  587 

43 

.732  784 

44 

.732  980 

45 

9-733  177 

4b 

•733  373 

47 

•733  569 

48 

•733  765 

49 

•733  96i 

50 

9-734I57 

5i 

•734  353 

52 

-734  549 

53 

•734  744 

54 

•734  939 

55 

9-735  135 

5b 

•735  330 

57 

•735  525 

58 

•735  ll9 

59 

•735  9H 

60 

9.736  109 

Oos. 


3-37 
3-37 
3-37 
3-35 
3-37 
3-35 
3-37 
3-35 
3-35 
3-35 
3-35 
3-33 
3-35 
3-33 
3-35 
3-33 
3-33 
3-33 
3-32 
3-33 
3-33 
3-32 
3-32 
3-32 
3-32 
3-32 
3-32 
3-32 
3-3° 
3-32 
3-30 
3-3° 
3-30 
3-30 
3.28 

3-30 
3-3o 
3-28 
328 
3-28 
3-28 
3.28 
328 
3-27 
328 

3-27 
3-27 
327 
3-27 
3-27 
3-27 
3-27 
3-25 
3-25 
3-27 
3-25 
3-25 
3-23 
3-25 
3-25 

D.  1". 


9.928  420 
.928  342 
.928  263 
.928  183 
.928  104 

9.928  025 
.927  946 
.927  867 
.927  787 
.927  708 

9.927  629 

•927  549 
.927  470 
.927  390 
.927-310 

9.927  231 
.927151 
.927071 
.926991 
.926911 

9.926831 
.926751 
.926671 
.926591 
.926  511 

9.926431 
.926351 
.926  270 
.926  190 
.926  no 

9.926  029 

•925  949 
.925  868 
.925  788 
.925  707 
9.925  626 

•925  545 
.925  465 
.925  384 
•925  303 

9.925  222 
.925  141 
.925  060 
.924  979 
•924  897 

9.924816 

•924  735 
.924  654 
.924572 
.924491 

9.924  409 
.924328 
.924  246 
.924  164 
•924  083 

9.924001 
.923919 
•923  837 
•923  755 
•923  673 

9-923  59i 


570 


9-795  789 
.796070 

•796  351 
.796  632 
.796913 

9.797  194 
•797  474 
•797  755 
•798  036 
.798316 

9.798  596 
.798877 
.799157 
•799  437 
.799717 

9-799  997 
.800  277 
.800  557 
.800  836 
.801  116 

9.801  396 
.Soi  675 
.801  955 
.802  234 
.802513 

9.802  792 
.803  072 
•803  35  J 
.803  630 
.803  909 

9.804  187 
.804  466 
•804  745 
.805  023 
.805  302 

9.805  580 
•805  859 
.806  137 
.806415 
.806  693 

9.806971 
.807  249 
•807  527 
.807  805 
.808  083 

9.808  361 
.808  638 
.808916 
.809  193 
.809471 

9.809  748 
.810025 
.810  302 
.810580 
.810857 

9.81 1  134 
.811 410 
.811687 
.811  964 
.812  241 

9-812517 
Got. 


4.68 
4.68 
4.68 
4.68 
4.68 
4.67 
4.68 
4.68 
4.67 
4.67 
4.68 
4.67 
4.67 
4.67 
4.67 
4.67 
4.67 
4-65 
4.67 
4.67 

4-65 
4.67 
4-65 
4.65 
4-65 
4.67 
4.65 
4-65 
4.65 
4-63 
4-65 
4-65 
4-63 
4-65 
463 
4.65 
4-63 
463 
4-63 
4.63 
4-63 
4-63 
4.63 
463 
4-63 
4.62 
4-63 
4.62 
4-63 
4.62 

4.62 
4.62 
4-63 
4.62 
4.62 
4.60 
4.62 
4.62 
4.62 
4.60 

1  d^: 


0.204  211 
•203  930 
.203  649 
.203  368 
.203  087 
0.202  806 
.202  526 
.202  245 
.201 964 
.201  684 
0.201 404 
.201  123 
.200  843 
.200  563 
.200  283 
0.200003 
•199  723 
•199443 
.199 164 
.198884 
0.198  604 
.198325 
.198045 
.197766 
.197487^ 
0.197  208 
.196928 
.196649 
.196370 
.196091 
0.195  813 
•195  534 
•195  255 
•194977 
.194698 

0.194420 
.194141 
.193863 
•193585 
•193307 
0.193029 
.192751 
.192473 
.192195 
.191917 
0.191 639 
.191 362 
.191 084 
.190  807 
.190529 
0.190  252 
.189975 
.189698 
.189420 
.189143 

0.188  866 
.188590 

.188313 
.188036 

•187  759 
0.187483 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

33° 


51 


M. 

Sin. 

D.  1". 

Cos. 

D.  1". 

Tan. 

D.  1". 

Cot. 

o 

9.736  109 

3-23 
3-25 

9-923  591 

i-37 
i-37 
i-37 
i-37 
i-37 
1.38 
i-37 
1.38 
i-37 
1.38 

9.812  517 

.4.62     ° 
4.60 
4.62 

187  483 

60 

i 

.736  303 

.923  509 

.812794 

187  206 

59 

2 

.736  498 

•923  427 

.813070 

1 86  930 

58 

3 

.736  692 

3-23 

•923  345 

•813  347 

186653 

57 

4 
5-. 

.736  886 
9.737  080 

3-23 
3-23 

3-23 
3.22 

3-23 

.923  263 
9.923  181 

.813-623 
9.813899 

4.60 

4.62     ° 

4.60 

4.60 

4.60 

4.60 

186377 
186  101 

56 
55 

6 

•737  274 

.923  098 

.814176 

185  824 

54 

7 

•737  467 

.923016 

.814452 

185  548 

53 

8 

.737661 

•922  933 

.814728 

185272 

52 

9 

•737  855 

3-23 

3.22 

3.22 
3.22 
3.22 

.922851 

.815  004 

184  996 

5i 

IO 

9.738  048 

9.922  768 

i-37 
1.38 
1.38 
i-37 
1.38 

9.815  280 

4.58 

184  720 

50 

ii 

.738241 

.922  686 

•f^  555 

.815831 

184445 

49 

12 

•738  434 

.922  603 

4.60 
4.58 
4.60 

184  169 

48 

13 

.738  627 

.922  520 

.816  107 

183893 

47 

14 

.73S820 

3.22 
3.22 
3.22 
3.20 
3.20 
3.22 
3.20 

.922  438 

.816382 

183  618 

46 

15 

9-739  0I3 

9-922  355 

1  ^8 

9.816658 

4.58 
4.60 
4-58 
4-58 
4.60 

183  342 

45 

16 
17 

.739  206 
•739  398 

.922  272 
.922  189 

1.38 

1  -iR 

•816933 
.817  209 

183067 
182  791 

44 

43 

18 

•739  590 

.922  106 

MS 

.817484 

182516 

42 

19 

•739  783 

.922023 

'•j° 
I.38 

•8i7  759 

182  241 

4i 

20 

9-739  975 

3.20 
3.20 
3-i8 
3.20 
3.20 

9.921  940 

1.38 
1.38 
1-38 
1.40 
1.38 

9.818035 

4.58 
4.58 
4.58 
4-58 
4-S8 

181  965 

40 

21 
22 

.740  167 
•740  359 

.921  857 
.921  774 

.818310 
.818585 

181  690 
181  415 

39 
38 

23 

.740550  • 

.921  691 

.818860 

181  140 

37 

24 

.740  742 

.921  607 

.819135 

180865 

36 

25 

9-74°  934 

3.18 
318 
3.20 
318 
3-i7 
3.18 
3:18 
3-iS 

9.921  524 

1.38 
1.40 
1.38 
1.40 
1.3S 
1.40 
1.40 
1.38 

9.819  410 

4.58 
4-58 

4-5Z 
4.58 

4.57     ° 

4.58 

180  590 

35 

26 

.741  125 

.921  441 

.819684 

180  316 

34 

27 

.741  316 

•921  357 

.819959  - 

180  041 

33 

28 
29 

30 

.741  508 

.741  699 

9.741  889 

.921  274 

.921  190 

9.921  107 

.820  234 

.820  508 

9.820  783 

179766 
179492 
179  217 

32 
3i 
30 

31 

.742  080 

.921  023 

.821  057 

178  943 

29 

32 

.742  271 

.920  939 

.821  332 

178668 

28 

33 

.742  462 

.920856 

.821  606 

4-57 

178  394 

27 

34 

.742  652 

3-r7 
3-17 
3.18 
3i7 
3-17 
315 
317 
317 
315 
3-i7 
3-15 
3-15 
315 
3-i5 
315 
3-13 
3lS 
3-*3 

.920  772 

1.40 
1.40 
1.40 
1.40 
1.40 
1.40 
1.40 
1.40 
1.42 
1.40 
1.40 
1.42 
1.40 
1.42 
1.40 

.821  880 

4-57 

4-57 
4.58 
4-57 
4-57 

178  120 

26 

35 

9.742  842 

9.920  688 

9.822  154 

177846 

25 

36 

•743  °33 

.920  604 

.822429 

l77S7l 

24 

37 

•743  223 

.920  520 

.822  703 

177297 

23 

38 

•743  413 

.920  436 

.822  977 

177023 

22 

39 
40 

•743  602 
9-743  792 

.920  352 
9.920  268 

•823251 
9-823  524 

4-57 

4'55     0 

176749 
176476 

21 
20 

4i 

•743  982 

.920  184 

.823  798 

4-57 

4-57 

176  202 

19 

42 

.744  1 71 

.920099 

.824  072 

175928 

18 

43 

.744  361 

.920015 

•824  345 

4-55 

1 75  655 

17 

44 

•744  55° 

.919931 

.824619 

4-57 

4'57     0 

175  38i 

16 

45 

9-744  739 

9.919846 

9.824  893 

175  107 

15 

46 

•744  928 

.919.762 

.825  166 

4-55 

174834 

14 

47 

•745  "7 

.919677 

•825  439 

4-55 

174  561 

13 

48 

•745  306 

•919  593 

•825  713 

4-57 

174287 

12 

49 
50 
5i 

•745  494 

9-745  683 

•745  871 

.919  508 

9.919424 

•919  339 

1.42 
1.40 
1.42 

.825  986 

9.826259 

.826532 

.826  805 

4-55 

4-55     0 
4-55 

174014 

173  74i 

173468 

11 
10 
9 

52 

.746  060 

3-'5 

.919  254 

1.42 

4-55 

173  195 

8 

53 

.746  248 

3'13 
3-'3 
313 

313 
3.12 

3^3 
3.12 

313 

.919  169 

1.42 

.827078 

4-55 

172922 

7 

54 

.746436 

.919085 

1.40 

1.42 

•827351 

4-55 

4'55     0 

172649 

6 

55 

9.746  624 

9.919000 

9.827  624 

172376 

5 

56 

.746812 

.918915 

1.42 

.827897 

4-55 

172  103 

4 

1  57 

.746  999 

.918830 

1.42 

.828170 

4-55 

171  830 

3 

58 

•747  187 

•918  745 

1.42 

1-43 
1.42 

.828  442 

4-53 
4-55 

4-53     0 

171  558 

2 

59 

•747  374 

.918659 

.828715 

171  285 

1 

60 

9.747  562 

9.918  574 

9.828  987 

171  013 

0 

Cos. 

D.  1". 

Sin. 

D.  1". 

Cot. 

D.  1". 

Tan. 

M. 

56° 


52 


LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

34° 


AND   COTANGENTS. 


Sin. 


D.  1". 


Cos. 


D.  1' 


Tan. 


D.  1", 


Cot. 


o 

9.747  562 

I 

•747  749 

2 

•747  936 

3 

.748123 

4 

.748310 

S 

9.748  497 

6 

.748  683 

7 

.748  S70 

8 

.749056 

9 

•749  243 

IO 

9.749  429 

ii 

.749615 

12 

.749  801 

13 

•749  987 

14 

.750172 

15 

9-75°  358 

16 

•75°543 

17 

.750  729 

18 

•7509i4 

19 

•75  *  °99 

20 

9.751  284 

21 

.751469 

22 

•75 »  654 

23 

•75 r  839 

24 

.752023 

25 

9.752  208 

26 

.752392 

27 

•752  576 

28 

.752  760 

29 

•752  944 

30 

9.753128 

31 

•753  312 

32 

•753  495 

33 

•753  679 

34 

.753862 

35 

9.754046 

3b 

•754  229 

37 

.754412 

3» 

•754  595 

39 

•754  778 

40 

9.754  960 

4i 

•755  H3 

42 

•755  326 

43 

•755  5°8 

44 

•755  690 

45 

9-755  872 

46 

•756054 

47 

•756  236 

48 

.756418 

49 

.756600 

50 

9.756782 

51 

.756963 

52 

•757  i44 

53 

•757  326 

54 

•757  507 

55 

9.757688 

56 

•757  869 

57 

.758050 

58 

•758  230 

59 

.758411 

60 

9-758  59I 

Cos. 


3.12 
3.12 
3.12 
3.12 
3.12 
3.10 
3.12 
3.10 
3.12 
3.10 
3.10 
3.10 
3.10 
3.08 
3.10 
3.08 
3.10 
3.08 
3.08 
3.08 
3.08 
3.08 
3-o8 
3-07 
3.08 

3-07 
3-07 
3-07 
307 
3-07 
307 
305 
3-07 
3-05 
3-07 
3-05 
3-05 
3-05 
3-05 
303 
3-05 
3-05 
3-°3 
3-03 
3-o3 
3-03 
303 
303 
303 
3°3 
3.02 
3.02 

303 
3.02 
3.02 
3.02 
3.02 
3.00 
3.02 
3.00 

D.  1". 


9.918574 
.918489 
.918404 
.918318 
.918  233 

9.918  147 
.918062 
.917976 
.917891 
.917805 

9.917  719 
■917634 
•917  548 
.917462 
.917376 

9.917290 
.917204 
.917118 
.917032 
.916946 

9.916859 
.916773 
.916  6S7 
.916  600 
.916514 

9.916427 
.916341 
.916254 
.916  167 
.916081 

9-9I5  994 
.915907 
.915  820 

•915  733 
.915  646 

9-9I5  559 
.915472 

•915  385 

.915297 

.915  210 

9.915  123 

•915035 
.914  948 
.914860 
•9H773 

9.914685 
.914598 
.914510 
.914422 
•914  334 

9.914  246 
.914158 
.914070 
.913982 
.913894 

9.913806 
.913  718 
.913630 
•913  54i 
•913  453 

9-9I3  365 
Sin. 


9.828  987 
.829  260 
.829  532 
.829  805 
.830077 

9-830  349 
.830621 
.830  893 
.831  165 
•831  437 

9.831  709 
.831  981 
•832  253 
•832  525 
.832  796 

9-833  068 
•833  339 
.833611 
.833  882 
.834  154 

9.834425 
.834  696 
•834967 
•835  238 
•835  5°9 

9.835  780 
.836051 
•836322 

•836593 
.836  864 

9-837  134 

•837  405 
•837  675 
•837  946 
.838216 

9.838  487 
•838  757 
.839  027 
•839  297 
.839  568 

9.S39  838 
.840  108 
.840  378 
.840  648 
.840917 

9.841  187 
.841  457 
.841  727 
.841  996 
.842  266 

9-842  535 
.842  805 
•843  074 
•843  343 
.843612 

9.843  882 
.844151 
.844  420 
.844  689 
.844  958 

9-845  227 
Cot. 


4-55 
4-53 
4-55 
4-53 
4-53 
4-53 
4-53 
4-53 
4-53 
4-53 
4-53 
4-53 
4-53 
4-52 
4-53 
4.52 

4-53 
4.52 

4-53 
4-52 
4.52 
4-52 
4-52 
4-52 
4-52 
4-52 
4-52 
4.52 

4-52 
4.50 

4.52 
4-5° 
4-52 
4-5° 
4-52 
4-5° 
4-5° 
4-5° 
4-52 
4.50 

4.50 
4-5° 
4-5° 
4.48 
4.50 

4-5° 
4-5° 
4.48 
4-5° 
4.48 
4.50 
4.48 
4.48 
4.48 
4-5° 
4.48 
4.48 
4.48 
4.48 
4.48 

D.  1". 


0.171  013 
.170740 
.170468 
.170195 
.169923 

0.169  651 
.169379 
.169107 
.168835 
.168563 

0.168  291 
.16S019 
.167747 
.167475 
.167  204 

0.166  932 
.166661 
.166389 
.166  118 
.165  846 

0.165  575 
.165304 
■165033 
.164762 
.164491 

0.164  220 
.163949 
.163678 
.163407 
.163  136 

0.162866 
•162595 
.162325 
.162054 
.161  784 

0.161  513 
.161  243 
.160973 
.160703 
.160432 

0.160  162 
.159892 
.159  622 

•i59  352 
.159083 

0.158  813 

•158543 
•158273 
.158004 
•157  734 
0.157465 

•157  195 
.156926 
.156657 
.156388 
0.156  118 

.155  849 
.155580 

•155  3" 
.155042 

Q-I54  773 

Tan. 


55° 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

35° 


53 


9.758591 

•758772 
•758952 

•759  132 
•759  3J2 

9-759  492 
.759672 
•759852 
.760031 
.760  211 

9.760390 
.760  569 
.760  748 
.760927 
.761  106 

9.761  285 
.761  464 
.761  642 
.761  821 
.761  999 

9.762177 
.762356 
.762  534 
.762  712 
.762  889 

9.763067 

•763  245 
.763422 
.763  600 
•763  777 

9-763  954 
.764131 
.764308 
.764  485 
.764  662 

9.764838 
.765015 
.765  191 
.765  367 
.765  544 

9.765  720 
.765  896 
.766072 
.766  247 
.766423 

9.766598 
.766  774 
.766  949 
.767124 
.767  300 

9-767  475 
•767  649 
.767824 

•767  999 
•768173 

9.768  348 
.768522 
.768697 
.768871 
.769  045 

9.769219 


D.  1". 


3.02 
3.00 
3.00 
3.00 
3.00 
3.00 
3.00 
2.98 
3.00 
2.98 


2.98 


2.98 
2.97 
2.98 
2.97 
2-97 
2.98 

2-97 
2.97 

2-95 
2.97 

2.97 

2-95 
2.97 

2-95 
2.95 

2-95 
2-95 
2-95 
2-95 
2-93 
2-95 
2-93 
2-93 
2-95 
2-93 
2-93 
2-93 
2.92 

2-93 
2.92 

2-93 
2.92 
2.92 

2-93 
2.92 

2.90 
2.92 
2.92 
2.90 
2.92 
2.90 
2.92 
2.90 
2.90 
2.90 

D.  1" 


9-9I3  365 
.913276 
•913  187 
.913099 
.913010 

9.912922 
•912833 
.912744 
.912655 
.912  566 

9.912477 
.912388 
.912  299 
.912  210 
.912  121 

9.912  031 
.911  942 
•911  853 
.911  763 
.911674 

9.91 1  584 
.91 1  495 
.911405 

•9"3!5 
.911  226 

9.91 1  136 

.911  046 
.910956 
.910866 
.910  776 

9.910  686 
.910  596 
.910  506 
.910415 
.910325 

9.910235 
.910  144 
.910054 

•909  963 
.909  873 

9.909  782 
.909  691 
.909  601 
.909  510 
.909  419 

9.909  328 
.909  237 
.909  146 
.909  055 
.908  964 

9.908873 
.908  781 
.908  690 
.908  599 
.908  507 

9.908416 
.908  324 
.908  233 
.908  141 
.908  049 

9-907  958 
Sin. 


D.l' 


50 
5° 
48 

5° 
50 
5° 
50 
5° 
5° 
5° 
50 
5^ 
5° 
5° 
52 
5° 
52 
5° 
52 
52 
5° 
52 
52 
52 
52 
52 
52 
52 
52 
53 
52 
52 
53 
S2 
53 
S2 
53 
53 
52 

D.  1". 

54° 


9.845  227 
.845  496 
.845  764 
.846  033 
.846  302 

9.846  570 
.846  839 
.847 108 
.847  376 
•847  644 

9.847913 
.848  181 
.848  449 
.848717 
.848  986 

9.849  254 
.849  522 
•849  790 
.850057 
.850  325 

9850  593 
.850861 
.851 129 
.851  396 
.851664 

9.851  931 
.852  199 
.852  466 

•852  733 
.853001 

9.853  268 

•853  535 
.853  802 
.854  069 
•854  336 

9.854  603 
.854  870 
.855  137 
•855  404 
•855  671 

9-855  938 
.856  204 
.856471 
•856  737 
.857004 

9.857  270 

•857  537 
.857  803 
.858  069 
.858336 

9.858  602 
.858  868 
•859  134 
.859  400 
.859  666 

9.859  932 
.860  198 
.860  464 
.860  730 
.860  995 

9.861  261 
Ooti 


D.  1' 


4.48 
4-47 
4.48 
4.48 
4-47 
4.48 
4.48 
4-47 
4-47 
4.48 

4-47 
4-47 
4-47 
4.48 
4-47 
4-47 
4-47 
4-45 
4-47 
4-47 
4-47 
4-47 
4-45 
4-47 
4-45 
4-47 
4-45 
4-45 
4-47 
4-45 
4-45 
4-45 
4-45 
4-45 
4-45 
4-45 
4-45 
4-45 
4-45 
4-45 
4-43 
4-45 
4-43 
4-45 
4-43 
4-45 
4-43 
4-43 
4-45 
4-43 
4-43 
4-43 
4-43 
4-43 
4-43 
4-43 
4-43 
4-43 
4.42 

4-43 
D.  1", 


Cot. 


0.154773 

60 

.154504 

59 

.154236 

58 

•153967 

57 

.153698 

56 

0.153430 

55 

.153161 

54 

.152892 

53 

.152624 

52 

•152356 

5i 

0.152087 

5° 

.151  819 

49 

•^ss1 

48 

.151  283 

47 

.151  014 

46 

0.150  746 

45 

.150478 

44 

.150  210 

43 

•149943 

42 

.149675 

4i 

0.149407 

40 

.149 139 

39 

.148871 

38 

.148  604 

37 

.148336 

36 

0.148069 

35 

.147  801 

34 

•147  534 

33 

.147267 

32 

.146999 

3i 

0.146  732 

30 

.146465 

29 

.146198 

28 

•145  93i 

27 

.145  664 

26 

0.145  397 

25 

.145  130 

24 

.144863 

23 

.144  596 

22 

.144  329 

21 

0.144062 

20 

.143  796 

19 

•i43  529 

18 

.143  263 

17 

.142996 

16 

0.142730 

15 

.142463 

14 

.142197 

13 

.141931 

12 

.141  664 

11 

0.141  398 

10 

.141  132 

9 

.140866 

8 

.140  600 

7 

.140  334 

6 

0.140068 

5 

.139802 

4 

•139  536 

3 

.139270 

2 

.139005 

1 

0.138739 

0 

54     LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

36° 


D.l' 


Cos. 


D.l' 


Tan. 


D.l' 


Cot, 


o 

9.769219 

I 

•7°9  393 

2 

.769  566 

3 

.769  740 

4 

.769913 

5 

9.770087 

6 

.770  260 

7 

•77°  433 

8 

.770  606 

9 

.770779 

10 

9.770952 

ii 

.771 125 

12 

.771  298 

13 

.771  470 

14 

.771  643 

»5 

9.771  815 

16 

.771  987 

17 

•772  159 

18 

•77233i 

19 

.772  503 

20 

9.772675 

21 

.772  847 

22 

.773018 

23 

•773  190 

24 

•773  361 

25 

9-773  533 

2b 

•773  704 

27 

•773  875 

28 

•774  046 

29 

.774217 

30 

9.774388 

31 

•774  558 

32 

•774  729 

33 

•774  899 

34 

.775070 

35 

9.775  240 

30 

•775  4io 

37 

•775  580 

3« 

.775750 

39 

•775  920 

40 

9.776090 

41 

.776259 

42 

.776429 

43 

.776598 

44 

.776  768 

45 

9-776  937 

46 

.777  106 

47 

•777275 

48 

•777  444 

49 

.777613 

50 

9.777781 

5i 

•777  95° 

52 

.778119 

53 

.778287 

54 

•778  455 

55 

9.778624 

56 

•778  792 

57 

.778960 

58 

.779  128 

59 

•779  295 

60 

9-779  463 

Cos, 


2.90 
2.88 
2.90 
2.88 
2.90 
2.88 
2788 
2.88 
2.88 
2.88 


2.88 
2.87 
2.88 

2.87 

2.87 

2.87 

2.87 

2.87 
2.87 

2.87 

2.85 
2.87 
2.85 
2.87 
2.85 
2.85 
2.85 
2.85 
2.85 

2.83 

2.85 
2.83 
2.85 
2.83 
2.83 
2.83 
2.83 
2.83 
2.83 

2.82 
2.83 

2.82 

2.83 

2.82 
2.82 
2.82 
2.82 
2.82 
2.80 
2.82 
2.82 
2.80 
2.80 
2.82 
2.80 
2.80 
2.80 

2.78 

2.80 

D.  1". 


9.907958 
.907  866 
.907  774 
.907  682 
.907  590 

9.907  498 
.907  406 
■907  314 
.907  222 
.907  129 

9.907  037 
.906  945 
.906852 
.906  760 
.906  667 

9.906  575 
.906  482 
.906  389 
.906  296 
.906  204 

9.906  1 1 1 
.906 01 S 
•905  925 
•905  832 
•905  739 

9.905  645 
•905  552 
•905  459 
.905  366 
.905  272 

9.905  179 
.905  085 
•904  992 
.904  898 
.904  804 

9.904  71 1 
.904617 
.904  523 
•904  429 
•904  335 

9.904  241 
•904  147 
•904  053 
•903  959 
.903  864 

9.903  770 
.903  676 
•903  581 
.903  487 
•903  392 

9.903  298 
.903  203 
.903  108 
•903014 
.902  919 

9.902  824 
.902  729 
•902  634 
.902  539 
.902  444 

9-9Q2  349 
Sin. 


53- 


9.861  261 
•861  527 
.861 792 
.862058 
•862  323 

9.862  5S9 
.862  854 
.863119 
.863  385 
.863  650 

9.863915 
.864  180 
.864  445 
.864  710 
•864975 

9.865  240 
.865  505 
.865  770 

.866  035 
.866  300 

9.866  564 
.866  829 
.867  094 
.867  358 
.867  623 

9.867  887 
.868  152 
.868416 
.868  680 
.868  945 

9.869  209 
.869  473 
.869  737 
.870001 
.870  265 

9.870  529 
•870  793 
.871057 
.871  321 
.871  585 

9.871  849 
.872112 
.872  376 
.872  640 
•872  903 

9.873  167 
•873  430 
•873  694 
•873  957 
.874  220 

9.874  484 

•874  747 
.875010 

•875  273 
•875  537 

9.875  800 
.876063 
.876  326 
.876  589 
.876852 

9.877  114 


4-43 
4.42 

4-43 
4.42 

4-43 

4.42 
4.42 

4-43 
4.42 
4.42 
4.42 
4.42 
4.42 
4.42 
4.42 
4.42 
4.42 
4.42 
4.42 
4.40 
4.42 
4.42 
4.40 
442 
4.40 
4.42 
4.40 
4.40 
4.42 
4.40 
4.40 
4.40 
4.40 
4.40 
4.40 
4.40 
4.40 
4.40 
4.40 
4.40 

4-38 
4.40 
4.40 

4-38 
4.40 

4-38 
4.40 
4-38 
4-38 
4.40 

4-38 
4-38 
4-38 
4.40 
4-38 
4.38 
4-38 
4-38 
4-38 
4-37 

D.  1". 


0-138  739 

60 

•138  473 

59 

.138208 

58 

•137  942 

57 

•137677 

56 

0.137  411 

55 

.137146 

54 

.136881 

53 

.136615 

52 

•136350 

5i 

0.136085 

50 

.135  820 

49 

•x35  555 

48 

.135  290 

47 

•135025 

46 

0.134760 

45 

•134  495 

44 

.134230 

43 

•133965 

42 

•133700 

4i 

o.i33  436 

40 

•133  171 

39 

.132906 

38 

.132  642 

37 

•132  377 

36 

0.132  113 

35 

.131  848 

34 

.131  584 

33 

.131  320 

32 

•131  055 

3i 

0.130  791 

30 

.130527 

29 

.130263 

28 

.129999 

27 

•129735 

26 

0.129  471 

25 

.129207 

24 

.128943 

23 

.128679 

22 

.128415 

21 

0.128  151 

20 

.127888 

19 

.127624 

18 

.127  360 

17 

.127097 

16 

0.126833 

15 

.126  570 

M 

.126  306 

13 

.126043 

12 

.125780 

11 

0.125  5l6 

10 

.125253 

9 

.  1 24  990 

8 

.124727 

7 

.124463 

6 

0.124  200 

5 

•123  937 

4 

.123674 

3 

.123411 

2 

.123  148 

1 

0.122  8S6 

0 

Tan. 


LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

37° 


AND   COTANGENTS.     55 


Sin. 


9-779  463 
.779631 
.779  79S 
•779  966 
•78°  J33 

9.780  300 
.7S0467 
.780  634 
.780  Soi 
.780  968 

9.781  134 
.781  301 
.781  468 
.781  634 
.781  800 

9.781  966 
.782132 
.782  298 
.782  464 
.782  630 

9.782  796 
.782961 
•783127 
.783  292 
.783458 

9-783  623 
.783  788 

•783  953 
.784118 
.784  282 
9.784447 
.784612 
.784  776 
.784941 
.785  105 

9.785  269 
•785  433 
•785  597 
.785  761 

•785  925 
9.786089 
.786252 
.786416 
.786579 
.786  742 

9.786  906 
.787069 
•787232 
•787  395 
•787  557 

9.787  720 
.787  883 
.788  045 
.788  20S 
.788  37° 

9.788532 
.7S8  694 
.788856 
.789018 
.789  180 

9-789  342 
Cos. 


D,  1' 


2.78 
2.80 
2.7S 
2.7S 
2.78 
2.78 
2.78 
2.78 
2.77 
2.78 
2.78 
2.77 

2-77 
2.77 

2.77 
2.77 
2.77 
2.77 
2.77 

2-75 
2-77 
2-75 
2-77 
2.75 

2-75 
2.75 

2-75 
2-73 
2-75 
2-75 
2-73 
2-75 
2-73 
2-73 
2-73 
2-73 
2-73 
2-73 
2-73 
2.72 

2-73 
2.72 
2.72 
2-73 
2.72 
2.72 
2.72 
2.70 
2.72 
2.72 
2.70 
2.72 
2.70 
2.70 
2.70 
2.70 
2.70 
2.70 
2.70 


Cos. 


D.  1' 


9.902  349 
.902  253 
.902  158 
.902  063 
.901  967 

9.901  872 
.901  776 
.901  681 
.901  585 
.901  490 

9.901  394 
.901  29S 
.901  202 
.901  106 
.901 010 

9.900914 
.900818 
.900  722 
.900  626 
.900  529 

9.900  433 
•900  337 
.900  240 
.900  144 
.900  047 

9.899951 
.899  854 
•899  757 
.899  660 
.899  564 

9.899467 
•899  37o 
•899  273 
.899  176 
.899  078 

9.898981 
.898  884 
.898  787 
.898  689 
.898  592 

9.898  494 
.898  397 
.898  299 
.898  202 
.898  104 

9.898  006 
.897  908 
.897  810 
.897712 
.897  614 

9.897516 
.897418 
.897  320 
.897  222 
•897  I23 

9.897025 
.896  926 
.896  828 
.896  729 
.896  631 

9.896  532 


D.  1". 


1.60 
1.58 
i-58 
1.60 
1.58 
1.60 
1.58 
1.60 
1.58 
1.60 

1.60 
1.60 
1.60 
1.60 
1.60 
1.60 
1.60 
1.60 
1.62 
1.60 
1.60 
1.62 
1.60 
1.62 
1.60 
1.62 
1.62 
1.62 
1.60 
1.62 
1.62 
1.62 
1.62 
1.63 
1.62 

1.62 
1.62 
1.63 
1.62 
1.63 
1.62 
1.63 
1.62 
1.63 
1.63 
1-63 
1.63 
1.63 
1.63 
1.63 
1-63 
1.63 
1.63 
1.65 
1.63 
1.65 
1.63 
1.65 
1.63 
1.65 


Tan. 


9.877  114 

•877  377 
.877  640 

■877  903 
.S78  165 

9.S78428 
.878  691 

•878  953 
.879216 
.879  478 
9.879  741 
.880  003 
.880  265 
.8S0  528 
.880  790 

9.881  052 
.881  314 
.881  577 
.881  839 
.882  101 

9.882  363 
.882625 
.8S2887 
.883  148 
.883410 

9.883672 
.8S3  934 
.884  196 

.884  457 
.884719 

9.884  980 
.885  242 
.885  504 
.885  765 
.886  026 

9.886  288 
.886  549 
.886811 
.887072 
•887  333 

9.887  594 
.887855 
.888116 
.888  378 
.888  639 

9.888  900 
.889  161 
.889421 
.889  682 
.889  943 

9.890  204 
■890  465 
•890  725 
.890  986 
.891  247 

9.891  507 
.891  768 
.892028 
.892  289 
.892  549 

9.892  810 


D.  1' 


D.l" 

52° 


Cot. 


4-38 

4-38 

4-38 

4-37 

4-38 

4-38 

4-37 

4-38 

4-37 

4-38 

4-37 

4-37 

4-38 

4-37 

4-37 

4-37 

4-38 

4-37 

4-37 

4-37 

4-37 

4-37 

4-35 

4-37 

4-37 

4-37 

4-37 

4-35 

4-37 

4-35 

4-37 

4-37 

4-35 

4-35 

4-37 

4-35 

4-37 

4-35 

4-35 

4-35 

4-35 

4-35 

4-37 

4-35 

4-35 

4-35 

4-33 

4-35 

4-35 

4-35 

4-35 

4-33 

4-35 

4-35 

4-33 

4-35 

4-33 

4-35 

4-33 

4-35 


Cot, 


0.122886 
.122  623 
.122  360 
.122097 
.121835 

0.121  572 
.121  309 
.121047 
.120  784 
.120  522 

0.120259 
.119997 

•  "9  735 
.119472 
.119  210 

0.1 18  948 
.118686 
.118423 
.118  161 
.117899 

0.1 1 7  637 

•"7  375 
.117113 
.116852 
.116  590 
0.1 16  328 
.116066 
.115  804 

•  "5  543 
.115281 

0.1 15  020 
.114758 
.114496 

•  "4235 
•"3  974 

0.113  712 

•  "3451 
.113189 
.112928 
.112667 

o.  1 1 2  406 
.112  145 
.111884 
.111  622 
.111  361 

O.I  1 1  IOO 

.110839 
.110579 
.110318 

.110057 
0.109  796 

•109535 
.109275 

.109014 

.108753 
0.108493 
.108232 
.107972 
.107711 
.107451 

0.107  I9° 


D.  1' 


Tan. 


56      LOGARITHMIC   SINES,   COSINES,   TANGENTS,  AND   COTANGENTS. 

38° 


Sin. 


D.  1' 


Tan. 


D,  1" 


Cot. 


).789  342 
.789  504 
.789  665 
.789  827 
.789  988 


5 

9.790  149 

b 

.790310 

7 

.790471 

8 

.790  632 

9 

•790  793 

10 

9-79°  954 

11 

•791  "5 

12 

.791  275 

13 

•79i  43& 

14 

.791  596 

15 

9-791  757 

16 

.791917 

17 

.792077 

18 

.792  237 

19 

•792  397 

20 

9792  557 

21 

.792716 

22 

.792  876 

23 

793<535 

24 

793  195 

25 

9793  354 

26 

793  5r4 

27 

793  673 

28 

793  832 

29 

793  991 

30 

9794  15° 

31 

794  308 

32 

.794467 

33 

.794  626 

34 

794  784 

35 

9.794  942 

36 

795  IDI 

37 

795  259 

38 

795  417 

39 

795  575 

40 

9795  733 

4i 

795  891 

42 

.796  049 

43 

.796  206 

44 

.796  364 

45 

9.796521 

46 

.796  679 

47 

.796  836 

48 

796  993 

49 

797  lS° 

SO 

9797  307 

5i 

797  464 

52 

.797  621 

53 

797  777 

54 

797  934 

55 

9.798091 

56 

.798  247 

57 

.798  403 

58 

798  560 

59 

.798716 

60 

9.798872 

Cos, 


2.70 
2.68 
2.70 
2.68 
2.68 
2.68 
2.68 
2.68 
2.68 
2.68 
2.68 
2.67 
2.68 
2.67 
2.68 
2.67 
2.67 
2.67 
2.67 
2.67 
2.65 
2.67 
2.65 
2.67 
2.65 
2.67 
2.65 
2.65 
2.65 
2.65 
2.63 
2.65 
2.65 
2.63 
2.63 
2.65 
2.63 
2.63 
2.63 
2.63 
2.63 
2.63 
2.62 
2.63 
2.62 
2.63 
2.62 
2.62 
2.62 
2.62 
2.62 
2.62 
2.60 
2.62 
2.62 
2.60 
2.60 
2.62 
2.60 
2.60 

D.  1". 


9.896  532 
■896  433 
•896  335 
.896  236 
.896  137 

9.896  038 

•895  939 
.895  840 

•895  741 
.895  641 

9.895  542 
•895  443 
•895  343 
.895  244 

•895  »45 
9-895  °45 
•894  945 
.894  846 
.894  746 
.894  646 
9.894  546 
•894  446 
•894  346 
.894  246 
.894  146 
9.894  046 
.893  946 
.893  846 
•893  745 
.893  645 

9-893  544 
.893  444 

•893  343 
•893  243 
.893  142 

9.893041 
.892  940 
.892  839 
.892  739 
.892  638 

9.892  536 
.892  435 
.892  334 
.892  233 
.892 132 

9.892  030 
.891  929 
.891  827 
.891  726 
.891  624 

9891  523 
.891  421 
.891  319 
.891  217 
.891  115 

9.891  013 
.890911 
.890  809 
.890  707 
.890  605 

9.890  503 


51c 


9.892  810 
.893  070 
.893  331 
•893  591 
.893851 

9.894  in 
.894  372 
.894  632 
.894  892 
•895  lS2 

9.895412 
.895  672 
.895  932 
.896 192 
.896452 

9.896712 
.896971 

•897  231 
.897491 
.897751 
9.898010 
.898  270 
.898  530 
.898  789 
.899  049 

9.899  308 
.899  568 
.899  827 
.900  087 
.900  346 

9.900  605 
.900  864 
.901 124 
.901  383 
.901 642 

9.901 901 
.902 160 
.902  420 
.902  679 
.902  938 

9.903 197 
.903  456 
•903714 
•903  973 
.904  232 

9.904491 
.904  750 
.905  008 
.905  267 
.905  526 

9.905  785 
.906  043 
.906  302 
.906  560 
.906819 

9.907  077 
•907  336 
•907  594 
•907  853 
.908 1 1 1 

9.908  369 

Cot. 


4-33 
4-35 
4-33 
4-33 
4-33 
4-35 
4-33 
4-33 
4-33 
4-33 
4-33 
4-33 
4-33 
4-33 
4-33 
4-32 
4-33 
4-33 
4-33 
4-32 
4-33 
4-33 
4-32 
4-33 
4-32 

4-33 
4-32 
4-33 
4-32 
4-32 
4-32 
4-33 
4-32 
4-32 
4-32 
4-32 
4-33 
4-32 
4-32 
4-32 
4-32 
4-30 
4-32 
4-32 
4-32 
4-32 
4-3° 
4-32 
4-32 
4-32 
4-30 
4-32 
4-30 
4-32 
4-30 
4-32 
4-30 
4-32 
4-30 
4-3° 

D.  1". 


0.107  l9° 
.106930 
.106  669 
.106409 
.106  149 

0.105  889 
.105  628 
.105  368 
.105  108 
.104  848 

0.104  588 
.104328 
.104068 
.103808 
.103548 

0.103  288 
.103029 
.102  769 
.102  509 
.102  249 

0.101  990 
.101  730 
.101  470 
.101  211 
.100951 

0.100692 
.100432 
.100173 
.099913 
.099  654 

0.099  395 
.099  136 
.098  876 
.098617 
.098  358 

0.098  099 
.097  840 
.097  580 
.097321 
.097  062 

0.096  803 
.096  544 
.096  286 
.096027 
.095  768 

0.095  5°9 
.095  250 
.094  992 
■094  733 
•094  474 

0.094  215 
•093  957 
.093  69S 
.093  440 
.093  181 

0.092  923 
.092  664 
.092  406 
.092  147 
.091  889 

0.091  631 
Tan. 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.    57 

39° 


Sin, 


o 

9.798  872 

I 

.799  028 

2 

•799  184 

3 

•799  339 

4 

•799  495 

S 

9.799651 

6 

.799  806 

7 

•799  962 

8 

.800  117 

9 

.800  272 

IO 

9.800427 

ii 

.800  582 

12 

.800  737 

13 

.800  892 

14 

.801  047 

I5 

9.S01  201 

16 

.801  356 

17 

.801  511 

18 

.801  665 

19 

.801  819 

20 

9.801  973 

21 

.802  128 

22 

.802  282 

2.3 

.S02  436 

24 

.802  589 

2,5 

9.802  743 

26 

.802  897 

27 

.803  050 

28 

.803  204 

29 

•803  357 

30 

9.803  511 

31 

.803  664 

32 

.803817 

33 

.803  970 

34 

.804  123 

35 

9.804  276 

36 

.804  428 

37 

.804  581 

38 

.804  734 

39 

.804  886 

40 

9.805  039 

4i 

.805  191 

42 

•805  343 

43 

•805  495 

44 

.805  647 

45 

9.805  799 

46 

•805951 

47 

.806  103 

48 

.806  254 

49 

.806  406 

50 

9.806557 

5i 

.S06  709 

52 

.806  860 

53 

.807011 

54 

.807  163 

55 

9.807  314 

56 

.807  465 

57 

.807615 

58 

.807  766 

59 

.807917 

60 

9.808067 

D.  1' 


Cos. 


2.60 
2.60 
2.58 
2.60 
2.60 

2.58 
2.60 
2.58 
2.58 
2.58 
2.58 
2.58 
2.58 
2.58 
2.57 
2.58 
2.58 
2-57 
2-57 
2-57 
2.58 
2-57 
2-57 
2-55 
2.57 

2.57 

2-55 
2.57 

2-55 
2-57 
2-55 
2-55 
2-55 
2-55 
2-55 
2-53 
2-55 
2-55 
2-53 
2.55 

2-53 
2-53 
2-53 
2-53 
2-53 
2-53 
2-53 
2.52 

2-53 
2.52 

2-53 
2.52 
2.52 

2-53 
2.52 

2.52 
2.50 
2.52 
2.52 
2.50 

D,  1". 


Cos. 


D.  1' 


9.890  503 
.890  400 
.890  298 
.890  195 
.890  093 

9.889  990 
.889  888 
•889  785 
.889  682 
•889  579 

9.889  477 
.889  374 
.889271 
.889  168 
.889  064 

9.888961 
.888  858 
.888  755 
.888651 
.888  548 

9.888  444 
.888341 
.888  237 
.888134 
.888  030 

9.887  926 
.887  822 
.887  718 
.887614 
.887510 

9.887  406 
.887  302 
.887  198 
.887  093 
.886  989 

9.886  885 
.886  780 
.8S6676 
.886571 
.886  466 

9.886  362 
.886257 
.886  152 
.SS6  047 
.S85  942 

9.885  837 
•885  732 
.885  627 
.885  522 
.8S5416 

9.885  311 
.S85  205 
.885  100 
.884  994 
.884  889 

9.884  783 
.884  677 
.884  572 
.884  466 
.884  360 

9-884  254 
Sin. 


D.  1". 

5CP 


Tan. 


9.908  369 
.908  628 
.908  886 
.909  144 
.909  402 

9.909  660 
.909  918 
.910177 
.910435 
.910693 

9.910  951 
.9 1 1  209 
.911467 
.911  725 
.911  982 

9.912  240 
.912498 
.912756 
.913014 
.913271 

9-9I3  529 
•913  787 
.914044 
.914302 
.914560 

9.914  817 
•915  075 
•915  332 
.915590 
.915847 

9.916  104 
.916  362 
.916  619 
.916877 
•917  134 

9-9I7  39I 
.917  648 
.917906 
.918163 
.918420 

9.918677 
.918934 
.919  191 
•919  448 
.919  705 

9.919962 
.920  219 
.920476 
•920  733 
.920  990 

9.921  247 
.921  503 
.921  760 
.922  017 
.922  274 

9.922  530 
.922  787 
•923  044 
.923  300 

•923  557 
9-923  8I4 

Cot. 


D.  1". 


4-32 
4-3° 
4-30 
4-3° 
4-30 
4-30 
4-32 
4-30 
4-30 
4-3° 
4-3° 
4-3° 
4-30 
4.28 
4-3° 
4-30 
4-3° 
4-3° 
4.28 
4-30 
4-30 
4.28 
4-3° 
4-3° 
4.28 

4-30 
4.28 
4-3° 
4.28 
4.28 

4-30 
4.28 
430 
4.28 
4.28 
4.28 
4-3° 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.28 
4.27 
4.28 
4.28 
4.28 
4.27 
4.28 
4.28 
4.27 
4.28 
4.28 

D.  1". 


Cot. 


0.091  631 
.091  372 
.091  114 
.090  856 
.090  598 

0.090  340 
.090  082 
.089  823 
.089  565 
.089  307 

0.089  °49 
.088791 
•088  533 
.088  275 
.088018 

0.087  76° 
.087  502 
.087  244 
.086  986 
.086  729 

0.086471 
.086213 
.085  956 
.085  698 
.085  440 

0.085  183 
.084  925 
.084  668 
.084410 
.084  153 

0.083  896 
.083  638 
.083  381 
.083  123 
.082  866 

0.082  609 
.082  352 
.082  094 
.081  8^7 
.081  580 

0.081  323 
.081  066 
.080  809 
.080  552 
.0S0  295 

0.0S0  038 
.079  781 

•079  524 
.079  267 
.079010 

0.078  753 
.078  497 
.078  240 
.077  983 
.077  726 

0.077  47o 
.077213 
.076956 
.076  700 
.076443 

0.076  186 
Tan. 


58 


LOGARITHMIC   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 

40° 


Sin. 


D.  1". 


Tan. 


D.  1' 


Cot. 


808  067 
808218 
808  368 
808519 
808  669 
808819 

808  969 

809  119 
809  269 
809419 
809  569 
809718 

809  868 
810017 

810  167 
810316 
810465 
810614 
810763 
810912 

811  061 
811  210 
811  358 
811  507 
811  655 
811  804 

811  952 

812  100 
812248 
812396 
812544 
812  692 
812840 
812988 
8i3  135 

3283 
3  430 
3  578 
3  725 
3872 
814019 
814  166 

814313 
814460 
814  607 

814  753 
,814900 
,815  046 
"5iS  193 
5l5  339 
!i5  485 
(15632 
:i5  77S 
115924 
(16069 
(16215 
516361 
>i6  507 
(16652 
(16798 
^6943 
Cos. 


2.52 
2.50 
2.52 
2.50 
2.50 
2.50 
2.50 
2.50 
2.50 
2.50 
2.48 
2.50 
2.48 
2.50 
2.48 
2.48 
2.48 
2.48 
2.48 
2.48 
2.48 

2-47 
2.48 

2-47 
2.48 

2.47 
2.47 
2-47 
2-47 
2.47 

2.47 
2.47 
2.47 
2-45 
2-47 

2-45 
2.47 

2-45 
2.45 
2-45 
2-45 
2-45 
2.45 
2-45 
2-43 
2-45 
2-43 
2-45 
2-43 
2-43 
2-45 
2.43 
2-43 
2.42 

2-43 
2-43 
2-43 
2.42 

2-43 
2.42 


9.884  254 
.884  148 
.884  042 
.883  936 
.883  829 

9-883  723 
.883617 
.883510 
.883  404 
.883  297 

9.883  191 
.883  084 

.882977 
.882871 
.882  764 

9.882  657 
.882  550 
.882  443 
.882336 
.882  229 

9.882  121 
.882014 
.881  907 
.881  799 
.881  692 

9.881  584 
.881  477 
.881  369 
.881  261 
.881  153 

9.881  046 
.880  938 
.880  830 
.880  722 
.880613 

9.880  505 
•880  397 
.880  289 
.880  180 
.880072 

9.879  963 
•879  855 
.879  746 
.879  637 
.879  529 

9.879  420 

•879  3i  1 
.879  202 
.879  093 
.878  984 

9.878875 
.878  766 
.878656 
.878  547 
.878438 

9.878328 
.878219 
.878  109 
.877  999 
.877  890 

9.877  780 


9.923814 
.924  070 
•924  327 
.924  583 
.924  840 

9.925  096 

•925  352 
.925  609 
.925  865 
.926  122 

9.926  378 
.926  634 
.926  890 

■927  147 
.927  403 

9.927  659 

•927915 
.928171 
.928427 
.928  684 

9.928  940 
.929  196 
.929452 
.929  708 
.929  964 

9.930  220 
•930  475 
•93o  73i 
.930  987 
•93i  243 

9-93*  499 
•93i  755 
.932010 
.932  266 
•932  522 

9.932  778 
•933°33 
•933  289 
■933  545 
■933  800 

9.934056 
•934  311 
•934  567 
•934  822 
•935  078 

9-935  333 
•935  589 
•935  844 
.936  100 

•936  355 
9.936  61 1 
.936  866 
•937  121 
•937  377 
•937  632 
9-937  887 
.938  142 
■938  398 
•938  653 
.938  908 

9-939  163 


4.27 
4.28 
4.27 
4.28 
4.27 
4.27 
4.28 
4.27 
4.28 
4.27 
4.27 
4.27 
4.28 
4-27 
4.27 

4.27 
4.27 
4.27 
4.28 
4.27 
4.27 
4.27 
4.27 
4.27 
4.27 

4.25 
4.27 
4.27 
4.27 
4.27 
4.27 
4.25 
4.27 
4.27 
4.27 
4.25 
4.27 
4.27 
4.25 
4.27 
4.25 
4.27 
4-25 
4.27 
4-25 
4.27 
4-25 
4.27 
4.25 
4.27 
4.25 
4-25 
4.27 
4.25 
4.25 
4.25 
4.27 
4.25 
4.25 
4.25 


0.076  186 

•075  930 
.075  673 
.075417 
.075  160 

0.074  904 
.074  648 
.074  391 
•074  135 
.073  878 

0.073622 
.073  366 
.073110 
.072  853 
.072  597 

0.072  341 
.072  085 
.071  829 

•°7i  573 
.071  316 

0.071  060 
.070  804 
.070  548 
.070  292 
.070036 

0.069  780 
.069  525 
.069  269 
.069013 
.068  757 

0.068  501 
.068  245 
.067  990 
.067  734 
.067  478 

0.067  222 
.066  967 
.066  711 
.066455 
.066  200 

0.065  944 
.065  689 
•065  433 
.065  178 
.064  922 

0064  667 
.064411 
.064  156 
.063  900 
.063  645 

0.063  389 
•063  134 
.062  879 
.062  623 
.062  368 

0.062  113 
.061  858 
.061  602 
•061  347 
.061  092 

0.060  837 


D.  1' 


Sin. 


D,  1' 

49° 


dot, 


D.  1". 


Tan, 


LOGARITHMIC    SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.     59 

41° 


o 

9.816943 

I 

.8170S8 

2 

■8i7233 

3 

•817  379 

4 

.817524 

5 

9.817668 

6 

.817813 

7 

.817958 

8 

.818  103 

9 

.818247 

lO 

9.818392 

ii 

.818536 

12 

.818681 

1.3 

.818825 

H 

.818969 

i5 

9.819  113 

ID 

.819257 

17 

.819401 

iS 

.819545 

19 

.819  689 

20 

9.819832 

21 

.819976 

22 

.820  120 

2.3 

.820  263 

24 

.820  406 

2S 

9.820550 

26 

.820  693 

27 

.820  836 

28 

.820  979 

29 

.821  122 

30 

9.821  265 

31 

.821  407 

32 

.821  550 

33 

.821  693 

34 

.821  S35 

35 

9.821  977 

36 

.822  1 20 

37 

.822  262 

38 

.822  404 

39 

.822  546 

40 

9.822  688 

4i 

.822  830 

42 

.822972 

43 

.823114 

44 

•823  255 

45 

9-823  397 

46 

•823  539 

47 

.823  680 

48 

.823  821 

49 

.823  963 

5o 

9.824  104 

5i 

•824  245 

52 

.824  386 

53 

.824  527 

54 

.824  668 

55 

9.824  808 

56 

.824  949 

57 

.825  090 

58 

.825  230 

59 

•825  37i 

60 

9.825  511 

Cos. 


D.  1' 


2.42 

2.42 

2-43 
2.42 
2.40 
2.42 
2.42 
2.42 
2.40 
2.42 
2.40 
2.42 
2.40 
2.40 
2.40 
2.40 
2.40 
2.40 
2.40 
2.38 
2.40 
2.40 
2.38 
2.38 
2.40 

2.38 
2.38 
2.38 
2.38 

2.38 

2-37 
2.38 
2.38 
2-37 
2-37 
2.38 
2.37 
2-37 
2-37 
2-37 
2-37 
2-37 
2-37 
2-35 
2-37 
2-37 
2-35 
2-35 
2-37 
2-35 
2-35 
2-35 
2-35 
2-35 
2-33 
2-35 
2.35 
2-33 
2-35 
2-33 

D.  1". 


Cos. 


9.877  780 
.877  670 
.877  560 
.S77450 
.877  340 

9.877  230 
.S77  120 
.877010 
.S76  899 
.876  7S9 

9.876678 
.876568 
.876457 

.876347 
.876  236 

9.876125 
.876014 
.875  904 

•875  793 
.875  682 

9-875  57I 
•875  459 
.875  348 
•875  237 
.875  126 

9.875014 
.874  903 
.874  791 
.874  680 
.874568 

9.874456 
•874  344 
.874232 
.S74121 
.874  009 

9.873  896 
•873  784 
.873  672 

.873  56° 
.873  448 

9-873  335 
•873  223 
.873110 
.872  998 
.872  885 

9.872  772 
•872659 
•872  547 
.872434 
.872321 

9.872  208 
.872095 
.871  981 
.871  868 
•871  755 

9.871  641 
.871  528 
.871414 
.871  301 
.871  187 

9.871073 


D,  1" 


87 


Tan. 


D.  1", 

48° 


9-939163 
.939418 
•939  673 
•939  928 
.940 183 

9.940  439 
.940  694 
.940  949 
.941  204 
.941 459 

9941 713 
.941  968 
.942  223 
•942  478 
•942  733 

9.942  988 
•943  243 
•943  498 
•943  752 
•944  007 

9.944  262 
.944517 
.944771 
.945  026 
.945  281 

9-945  535 
•945  790 
•946  045 
•946  299 
•946  554 

9.946  808 
•947  063 
•947  3i8 
•947  572 
•947  827 

9.948  081 
•948  335 
.948  590 

'  .948  844 
•949  099 

9-949  353 
.949  608 
.949  862 
.950  116 
•95°  371 

9.950  625 
.950  879 
■95 1  !33 
.951  388 
.951  642 

9.951  896 
.952  150 
.952  405 
•952659 
•952  913 

9-953  167 
•953  421 
•953  675 
•953  929 
•954 183 

9-954  437 
Cot. 


D.  1" 


4.25 
4.25 
4.25 
4.25 
4.27 

4-25 
4.25 
4-25 
4-25 
4-23 

4-25 
4.25 
4-25 
4-25 

4.25 

4.25 
4-25 
4-23 
4.25 

4-25 
4.25 
4-23 
4.25 
4.25 
4-23 
4.25 
4-25 
4-23 
4-25 
4.23 
4-25 
4-25 
4-23 
4.25 
423 
423 
4-25 
4-23 
4-25 
4-23 
4-25 
4-23 
4-23 
4-25 
4-23 
4-23 
4-23 
4-25 
4-23 
4-23 
4-23 
4.25 
4-23 
4-23 
4-23 
4-23 
4-23 
4-23 
4-23 
4-23 

D.  1", 


Cot. 


0.060  837 
.060  582 
.060  32.7 
.060  072 
.059817 

0.059  561 
.059  306 
.059051 
.058  796 
.058  541 

0.058  287 
.058  032 
•057  777 
•057  522 
.057  267 

0.057012 
.056757 
.056  502 
.056  248 
■055  993 

0.055  738 
•055  483 
.055  229 
•054  974 
.054719 

0.054  465 
.054  210 

•°53  955 
.053  701 
.053  446 

0.053  192 
.052  937 
.052  682 
.052  428 
.052173 

0.051  919 
.051  665 
.051  410 
.051  156 
.050  901 

0.050  647 
.050  392 
.050  138 
.049  884 
.049  629 

0.049  375 
.049  121 
.048  867 
.048  612 
.048  358 

0.048  104 
.047  850 

•047  595 
.047  341 
.047  087 
0.046  8^3 
.046  579 
.046  325 
.046071 
.045817 

Q-Q45  563 
Tan. 


60      LOGARITHMIC   SINES,   COSINES,   TANGENTS, 

42° 


AND  COTANGENTS. 


o 

9.825511 

I 

.825651 

2 

.825  791 

3 

.825  931 

4 

.826071 

5 

9.826  211 

6 

.826351 

7 

.826491 

8 

.826631 

9 

.826  770 

IO 

9.826910 

ii 

.827  049 

12 

.827  189 

13 

.827  328 

14 

.827  467 

15 

9.827  606 

16 

•827  745 

17 

.827  884 

18 

.828  023 

19 

.828  162 

20 

9.828  301 

21 

.828  439 

22 

.828  578 

23 

.828716 

24 

.828  855 

25 

9.828  993 

26 

.829131 

27 

.829  269 

28 

.829  407 

29 

.829  545 

30 

9.829  683 

31 

.829821 

32 

.829  959 

33 

.830  097 

34 

.830  234 

35 

9.830  372 

36 

.830  509 

37 

.830  646 

38 

.830  784 

39 

.830921 

40 

9.831  058 

4i 

.831  195 

42 

.831  332 

43 

.831  469 

44 

.831  606 

45 

9.831  742 

46 

.831  879 

47 

.832015 

48 

.832  152 

49 

.832  288 

50 

9.832  425 

5i 

.832  561 

52 

.832  697 

53 

•832  833 

54 

.832  969 

55 

9-833  105 

56 

.833  241 

57 

•833  377 

58 

.833512 

59 

.833  648 

60 

9-833  783 

Cos. 


D.  1". 

2-33 
2-33 
2-33 
2.33 
2-33 
2-33 
2-33 
2-33 
2.32 

2-33 
2.32 
2-33 
2.32 
2.32 
2.32 
2.32 
2.32 
2.32 
2.32 
2.32 
2.30 
2.32 
2.30 
2.32 
2.30 
2.30 
2.30 
2.30 
2.30 
2.30 
2.30 
2.30 
2.30 
2.28 
2.30 
2.28 
2.28 
2.30 
2.28 
2.28 
2.28 
2.28 
2.28 
2.28 
2.27 
2.28 
2.27 
2.28 
2.27 
2.28 
2.27 
2.27 
2.27 
2.27 
2.27 
2.27 
2.27 
2.25 
2.27 
2.25 

D.  1". 


Cos. 


9.871  073 
.870  960 
.870  846 
.870  732 
.870618 

9.870  504 
.870  390 
.870  276 
.870161 
.870  047 

9-869  933 
.869818 
.869  704 
•869  589 
.869  474 

9.869  360 
.869  245 
.869  130 
.869015 
.868  900 

9.868  785 
.868  670 
•868  555 
.868  440 
.868  324 

9.868  209 
.868  093 
.867  978 
.867  862 
•867  747 

9.867  631 
.867515 
.867  399 
.867  283 
.867  167 

9.867051 
.866  935 
.866819 
.866  703 
.866  586 

9.866  470 
.866  353 
.866  237 
.866120 
.866  004 

9.865  887 
.865  770 
.865  653 
.865  536 
.865419 

9.865  302 
.865  185 
.865  068 
.864  950 
.864  833 

9.864  716 
.864  598 
.864481 
.864  363 
.864  245 

9.864  127 


D.  1' 


470 


Tan, 


9-954  437 
•954  691 
•954  946 
.955  200 
•955  454 

9-955  7°8 
.955961 
■956215 
.956  469 
.956  723 

9.956977 
•957  231 
•957  485 
•957  739 
•957  993 

9.958  247 
•958  5°° 
•958  754 
•959  °°8 
.959  262 

9.959516 
•959  769 
.960  023 
.960  277 
.960  530 

9.960  784 
.961  038 
.961  292 
.961  545 
.961  799 

9.962052 
.962  306 
.962  560 
.962813 
.963  067 

9.963  320 
•963  574 
.963  828 
.964081 
•964  335 

9.964  588 
.964  842 
.965  095 

•965  349 
.965  602 

9-965  855 
.966  109 
.966  362 
.966616 
.966  869 

9.967  123 
•967  376 
.967  629 
.967  883 
.968  136 

9.968  389 
.968  643 
.968  896 
.969  149 
.969  403 

9.969  656 
Cot. 


D.  1". 


4-23 
4-25 
4-23 
4-23 

4-23 
4.22 
4-23 
4-23 
4-23 
4-23 
4.23 
4-23 
4-23 
4-23 
4-23 
4.22 
4-23 
4-23 
4-23 
4-23 
4.22 
4-23 
4-23 
4.22 
4-23 
4-23 
4-23 
4.22 
4-23 
4.22 

4-23 
4-23 
4.22 
4-23 
4.22 

4-23 
4.23 
4.22 
4-23 
4.22 

4-23 
4.22 
4-23 
4.22 
4.22 

4.23 
4.22 
4-23 
4.22 
4-23 
4.22 
4.22 
4.23 
4.22 
4.22 

4-23 
4.22 
4.22 
4-23 
4.22 

D,  1". 


Cot, 


0.045  563 
.045  309 
.045  054 
.044  800 
.044  546 

0.044  292 
.044  039 
.043  785 

•043  531 
.043  277 

0.043  023 
.042  769 
.042515 
.042  261 
.042  007 

0.041  753 
.041  500 
.041  246 
.040  992 
.040  738 

0.040  484 
.040231 
•039  977 
•039  723 
.039  470 

0.039  216 
.038  962 
.038  708 

•038455 
.038  201 

0.037  948 
.037  694 
.037  440 
.037  1S7 
•036  933 

0.036  6S0 
.036  426 
.036  172 
.035  9I9 
.035  665 

0.035412 
•035  158 
.034  905 
.034651 
•034  398 

0.034  145 
.033  S9 1 
.033  638 
.033  384 
•033  131 

0.032  877 
.032  624 
.032371 
.032117 
.031  864 

0.031  611 
•031  357 
.031  104 
.030851 
.030  597 

0.030  344 
Tan. 


LOGARITHMIC    SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.     61 

43° 


23 
24 

25 
26 
27 
28 
29 
30 
3i 
32 
33 
34 
35 
36 
37 
38 
39 
40 
4i 
42 
43 
44 

45 

46 

47 
48 
49 
50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 


Sin. 


9-833  783 
•833  919 
.834  054 
.834  189 
•834  325 

9.834  460 
•834  595 
•834  73o 
.834  865 
•834  999 

9-835  134 
.835  269 
•835  403 
.835  538 
.835  672 

9.835  807 

■835  941 
.836075 
.836  209 
•836  343 

9-836  477 
.836611 
•836  745 
.836  878 
.837012 

9.837  146 
.837  279 
.837412 
.837  546 
•837  679 

9.837812 

■837  945 
.838078 
.838211 
.838  344 

9.838477 
.838  610 
.838  742 
.838  875 
.839  007 

9.839  140 
.839  272 
.839  404 
•839  536 
.839  668 

9.839  800 
•839  932 
.840  064 
.840  196 
.840  328 

9.840  459 
.840  591 
.840  722 
.840  854 
.840  985 

9.841  116 
.841  247 
.841  378 
.841  509 
.841  640 

9-841  77i 
Cos. 


D.  1". 


2.27 

2.25 

2.25 

2.27 

2.25 

2.25 

2.25 

2.25 

2.23 

2.25 

2.25 

2.23 

2.25 

2.23 

2.25 

2.23 

2.23 

2.23 

2.23 

2.23 

2.23 

2.23 

2.22 

2.23 

2.23 

2.22 

2.22 

2.23 

2.22 

2.22 

2.22 

2.22 

2.22 

2.22 

2.22 

2.22 

2.20 

2.22 

2.20 

2.22 

2.20 

2.20 

2.20 

2.20 

2.20 

2.20 

2.20 

2.20 

2.20 

2.18 

2.20 

2.18 

2.20 

2.18 

2.18 

2.18 

2.18 

2.18 

2.18 

2.18 


Cos. 


9.864  127 
.864010 
.863  892 
.863  774 
.863  656 

9.863  538 
.863419 
.863  301 
.863  183 
.863  064 
9.862  946 
.862  827 
.862  709 
.862  590 
.862471 
9-862  353 
.862  234 
.862115 
.861  996 
.861  877 
9.861  758 
.861  638 
.861  519 
.861  400 
.861  280 
9.861  161 
.861  041 
.860  922 
.860  802 
.860  682 
9.860  562 
.860  442 
.860  322 
.860  202 
.860  082 
9.859  962 
.859  842 
•859  721 
.859  601 
•859  480 
9.859  360 
•859  239 
.859119 
.858  998 
.858  877 
9.858  756 
.858  635 
.858514 
•858  393 
.858  272 
9.858  151 
.85S029 
•857  908 
•857  786 
.857  665 

9-857  543 
.857422 

.857  3°o 
•857  178 
.857056 

9.856934 


D.  1' 


1.95 
1.97 
1.97 
1.97 
1.97 

!  1-98 

I  x-97 

i-97 

I  1.98 

!  i-97 

1.98 

!  1-97 

I  1.98 

1.98 

I  1-97 

1.98 

1.98 

1-98 


1.98 
1.98 
2.00 
1.98 
1.98 


2.00 
2.00 
2.00 
2.00 
2.00 
2.00 
2.00 
2.00 
2.00 
2.02 
2.00 
2.02 
2.00 
2.02 
2.00 
2.02 
2.02 
2.02 
2.02 
2.02 
2.02 
2.02 
2.02 
2.03 
2.02 
2.03 
2.02 
2.03 
2.02 
2.03 
2.03 
2.03 
2.03 


Tan. 


9.969  656 
.969  909 
.970  162 
.970416  - 
.970  669 

9.970  922 
.971  175 
.971  429 
.971  682 
•97i  935 

9.972  188 
.972441 
.972  695 
.972  948 
.973  201 

9-973  454 
•973  707 
•973  960 
•974  213 
•974  466 

9.974  720 
•974  973 
•975  226 
•975  479 
•975  732 

9-975  985 
.976  238 
.976491 
.976  744 
.976  997 

9.977  250 
•977  5°3 
•977  756 
.97S  009 
.978  262 

9-978  5I5 
.978  768 
.979021 
•979  274 
•979  527 

9.979  780 
.980  033 
.980  286 
.980  538 
.980  791 

9.981  044 
.981  297 
.981  550 
.981  803 
.982056 

9.982  309 
.982  562 
.982814 
.983  067 
•983  320 

9-983  573 
.983  826 
.984079 
•984  332 
•984  584 

9.984  837 


D.  1" 


4.22 
4.22 

4-23 
4.22 
4.22 
4.22 

4-23 

4.22 

4.22 

4.22 

4.22 

4-23 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4-23 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.20 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.20 

4.22 

4.22 

4.22 

4.22 

4.22 

4.22 

4.20 

4.22 


Cot. 


0.030  344 
.030091 
.029  838 
.029  584 
.029  331 

0.029  078 
.028  S25 
.028  571 
.028318 
.028065 

0.027  812 

•°27  559 

.027  305 

.027052 

.026  799 

0.026  546 
.026  293 
.026  040 
.025  787 
•025  534 

0.025  280 
.025  027 
.024  774 
.024521 
.024  268 

0.024015 
.023  762 
.023  509 
.023  256 
•023  003 

0.022  750 
.022  497 
.022  244 
.021  991 
.021  738 

0.021  485 
.021  232 
.020  979 
.020  726 
.020  473 

0.020  220 
.019967 
.019714 
.019462 
.019  209 

0.018956 
.018  703 
.018450 
.018  197 
.017944 

0.017  691 
.017438 
.017  186 
•016933 
.016680 

0.016427 
.016  174 
.015  921 
.015  668 
.015  416 

0.015  x^3 


60 
59 
58 
57 
56 

55 
54 
53 
52 
51 
50 
49 
48 
47 
46 

45 

44 
43 
42 
4i 
40 
39 
38 
37 
36 

35 
34 
33 
32 
3i 
30 
29 
28 
27 
26 

25 

24 
23 


D.  1". 


Sin. 


D.  1" 

46^ 


Cot. 


D.  1" 


Tan. 


62     LOGARITHMIC   SINES, 


COSINES,   TANGENTS, 
44° 


AND   COTANGENTS. 


M. 

Sin. 

D.  1". 

Cos. 

D.  1". 

Tan. 

D.  1". 

Cot. 

o 

9.841  771 

2.18 

9.856  934 

2.03 

9.984  837 

4.22 

0.015  1^3 

60 

i 

.841  902 

2.18 

.856812 

.985  090 

.014910 

59 

2 

.842  033 

.856  690 

2.03 
2.03 
2.03 
2.05 

•985  343 

4.22 

.014657 

58 

3 

.842  163 

2.17 
2.18 
2.17 
2.18 

.856  568 

.985  596 

4.22 
4.20 

4.22 
4.22 

.014404 

57 

4 

.842  294 

.856446 

.985  848 

.014152 

56 

5 

9.842  424 

9-856323 

9.986  101 

0.013899 

55 

6 

•842  555 

.856  201 

2.03 
2.05 

•986  354 

.013  646 

54* 

7 

.842  685 

2.17 

.856078 

.986  607 

4.22 

•OI3  393 

53 

8 

.842815 

2.17 
2.18 
2.17 
2.17 

•855  956 

2.03 
2.05 
2.03 

.986  860 

4.22 

.013  140 

52 

9 

.842  946 

•855  833 

.987  112 

4.22 

.012888 

5i 

IO 

9.843076 

9-855  7" 

2.05 

9.9S7  365 
.987  618 

0.012635 

50 

ii 

.843  206 

.855  588 

4.22 

.012  382 

49 

12 

•843  336 

2.17 

•855  465 

2.05 
2.05 
2.05 
2.05 
2.05 
2.05 
2.05 
2.07 
2.05 
2.07 
2.05 
2.07 
2.05 
2.07 
2.07 

.987871 

4.22 

.012  129 

48 

13 

.843  466 

2.17 

•855  342 

.988  123 

4.20 

.011877 

47 

14 

•843  595 

2.15 
2.17 

•855219 

.988  376 

4.22 
4.22 

.011  624 

46 

15 

9-843  725 

9.855  096 

9.988  629 

0.011  371 

45 

16 

.843  855 

2.17 

•854  973 

.988  882 

4.22 

.011  118 

44 

17 

.843  984 

2.15 

.854  850 

.989  134 

4.20 

.010  866 

43 

18 

.844  114 

2.17 
2.15 
2.15 

.854727 

.989  387 

4.22 

.010613 

42 

19 

.844  243 

•854  603 

.989  640 

4.22 

4.22 

.010360 

4i 

20 

9.844  372 

9.854  480 

9.989  893 

0.010  107 

40 

21 

.844  502 

2.17 
2.15 
2.15 
2.15 
2.15 
2.15 

.854356 

.990  145 

4.20 

.009  855 

39 

22 

.844631 

•854  233 

.990  398 

4.22 
4.22 

.009  602 

38 

23 

.844  760 

.854  109 

.990651 

.009  349 

37 

24 

.844  889 

.853  986 

.990  903 

4.22 

.009  097 

36 

25 

9.845  018 

9.853  862 

9.991  156 

0.008  844 

35 

26 

•845  J47 

•853  738 

.991  409 

4.22 

.008  591 

34 

27 

.845  276 

2.15 

.853614 

2.07 
2.07 
2.07 
2.07 
2.07 
2.07 
2.08 
2.07 
2.08 

.991  662 

4.22 
4.20 
4.22 
4.22 
4.20 
4.22 
4.22 
4.22 
4.20 

.008  338 

33 

28 

.845  405 

2.15 

.853  490 

.991 914 

.008  086 

32 

29 

•845  533 

2.13 

2-15 

2-13 
2.15 

•853  366 

.992  167 

.007  833 

3i 

30 

9.845  662 

9.853  242 

9.992  420 

0.007  580 

30 

31 
32 

•845  79o 
.845919 

.853118 
.852  994 

.992  672 
.992  925 

.007  328 
.007  075 

29 
28 

33 

.846  047 

2- 1 3 
2.13 
2.15 

.852  869 

•993  178 

.006  822 

27 

34 

.846175 

.852  745 

•993  431 

.006  569 

26 

35 

9.846  304 

9.852  620 

2.07 
2.08 

9-993  683 

4.22 
4.22 
4.20 
4.22 
4.22 

0.006  317 

25 

36 

•846  432 

2.13 
2.13 
2.13 

.852  496 

•993  936 

.006  064 

24 

37 

.846  560 

.852371 

2.07 
2.08 
2.08 

•994  189 

.005  811 

23 

38 

.846  688 

.852  247 

•994  44i 

.005  559 

22 

39 

.846816 

2.13 
2.13 

.852  122 

•994  694 

.005  306 

21 

40 

9.846  944 

9.851  997 

2.08 

9.994  947 

4.20 
4.22 
4.22 
4.20 
4.22 

0.005  053 

20 

4i 

.847071 

2.13 
2.13 
2.12 
2.13 

.851  872 

2.08 

•995  J99 

.004801 

19 

42 

.847  199 

.851  747 

2.08 

■995  452 

.004  548 

18 

43 
44 

.847  327 
•847  454 

.851  622 
.851  497 

2.08 
2.0S 

•995  7°5 
•995  957 

.004  295 
.004  043 

17 
16 

45 

9.847  582 

9.851  372 

2.IO 
2.08 
2.08 

9.996  210 

4.22 
4.20 

0.003  790 

15 

46 

.847  709 

2.12 

.851  246 

.996  463 

•003  537 

14 

47 

.847  836 

2.13 

.851  121 

.996715 

.003  285 

13 

48 

.847  964 

.850  996 

.996  968 

4.22 
4.22 
4.20 

•003  032 

12 

49 

.848091 

2.12 

.850870 

2^08 

.997  221 

.002  779 

n 

5° 

9.848218 

9.850  745 

2.10 

9-997  473 

4.22 
4.22 
4.20 

0.002  527 

10 

5i 

.848  345 

2  12 

.850  619 

•997  726 

.002  274 

9 

52 

.848  472 

' 

.850  493 

2.0S 

•997  979 

.002021 

8 

53 

.848  599 

2.12 
2.10 

.850  368 

2.10 

2.10 

.998231 

.001  769 

7 

54 

.848  726 

.850  242 

.998  484 

4.22 
4.22 

.001  516 

6 

55 

9.848  852 

2.12 

9.850  1 16 

2.10 

9-998  737 

0.001  263 

5 

56 

•848  979 

•849  990 

•998  989 

4- 

.001  on 

4 

57 

.849  106 

2.12 

.849  864 

2.10 

•999  242 

4.22 

.000  758 

3 

58 

■849  232 

2.10 

.849  738 

2.10 

•999  495 

4.22 
4.20 

4.22 

.000  505 

2 

59 

•849  359 

2.10 

.849  611 

2.10 

•999  747 

.000253 

1 

60 

9.849  485 

9.849  485 

0.000  000 

0.000000 

0 

Cos. 

D.  1". 

Sin. 

D.  1". 

Cot. 

D.  1". 

Tan. 

M, 

45° 


A    TABLE 


NATURAL   SINES,    COSINES,   TANGENTS, 
AND    COTANGENTS, 


FOR   EVERY 


DEGREE    AND    MINUTE    FROM    0°    TO    90°. 


64        NATURAL   SINES,    COSINES,   TANGENTS,   AND   COTANGENTS. 
0°  1°  2° 


M, 

Sin.   Cos.   Tan.   Cot, 

Sin.   Cos.   Tan.   Cot, 

Sin,   Cos.   Tan.   Cot. 

o 

.00000  1. 0000  .00000   00 

.01745  .99985  .0174657.290 

•03490  -99939  -03492  28.636 

60 

i 

029   000   029  3437.7 

774   984   775  56-35I 

519   938   521   -399 

59 

2 

058   000   058  1 718.9 
087   000   087  1 145.9 

803   984   804  55.442 

548   937   55°   -i66 

58 

3 

832   983   833  54.561 

577   936   579  27.937 

57 

4 

116   000   116  S59.44 

862   983   862  53.709 

6°6   935   609   .712 

56 

5 

.00145  i.oooo  .00145  687.55 

.01891  .99982  .01891  52.882 

•03635  -99934  -03638  27.490 

55 

6 

175   000   175  572.96 

920   982   920   .081 

664   933   667   .271 

54 

7 

204   000   204  491. 1 1 

949   981   949  5I-303 

693   932   696   .057 

53 

8 

233   000   233  429.72 

978   980   978  50.549 

723   93i   725  26.845 

52 

9 

262   000   262  381.97 

.02007   980  .02007  49-8 1 6 

752   930   754   .637 

5i 

IO 

.00291  1.0000  .00291  343.77 

.02036  .99979  .02036  49.104 

•03781  .99929  -03783  26.432 

50 

ii 

320.99999  320312.52 

065   979   06648.412 

810   927   812   .230 

49 

12 

349   999   349  286.48 

094   978   095  47.740 

839   926   842   .031 

48 

13 

378   999   378  264.44 

123   977   124   .085 

868   925   871  25.835 

47 

14 

407   999   407  245.55 

x52   977   153  46.449 

897   924   900   .642 

46 

15 

.00436  .99999  .00436  229.18 

.02181  .99976  .02182  45.829 

.03926  .99923  .03929  25.452 

45 

16 

465   999   465  214.86 

211   976   211   .226 

955   922   958   .264 

44 

17 

495   999   495  2°2-22 

240   975   240  44.639 

984   921   987   .080 

43 

18 

524   999   524  190.98 

269   974   269   .066 

.04013   919  .04016  24.898 

42 

19 

553   998   553  180.93 

298   974   298  43.508 

042   918   046  .719 

41 

20 

.00582  .99998  .00582  171.89 

.02327  .99973  .02328  42.964 

.04071  .99917  .04075  24.542 

40 

21 

611   998   611  163.70 

356   972   357   -433 

100   916   104  .368 

39 

22 

640   998   640  156.26 

385   972   38641-916 

129   915  *33      -196 

38 

23 

669   998   669  149.47 

414   971   415   .411 

159   913   162  .026 

37 

24 

698   998   698  143.24 

443   97°   444  40.9I7 

188   912   191  23.859 

36 

25 

.00727  .99997  .00727  137.51 

•02472  .99969  -02473  40.436 

.04217  .99911  .04220  23.695 

35 

26 

756   997   756  132.22 

501   969   502  39.965 

246   910   250  .532 

34 

27 

785   997   785  1 27.-32 

530   968   531   .506 

275   909   279   .372 

33 

28 

814   997   815  122.77 

560   967   560   .057 

304   907   308   .214 

32 

29 

844   996   844118.54 

589   966   589  38.618 

333      906   337   -05s 

3i 

30 

•00873.99996.00873  114.59 

.02618.  .99966  .02619  38.188 

.04362  .99905  .04366  22.904 

30 

31 

902   996   902  110.89 

647   965   648  37.769 

391   904   395   .752 

29 

32 

931   996   931  107.43 

676   964   677   .358 

420   902   424  .602 

28 

33 

960   995   960  104.17 

705   963   706  36.956 

449   901   454   -454 

27 

34 

989   995   989  10 1. 1 1 

734   963   735   -563 

478   900   483   .308 

26 

35 

.01018  .99995  .01018  98.218 

.02763  .99962  .02764  36.178 

.04507  .99898  .04512  22.164 

25 

36 

047   995   047  95.489 

792   961   793  35.801 

536   897   541   .022 

24 

37 

076   994   076  92.908 

821   960   822   .431 

565   896   570  21.S81 

23 

38 

105   994   105  90.463 

850   959   851   .070 

594   894   599   .743 

22 

39 

134   994   135  88.144 

879   959   881  34.715 

623   893   628   .606 

21 

40 

.01164  -99993  01 164  85.940 

.02908  .99958  .02910  34.368 

.04653  .99S92  .04658  21.470 

20 

4i 

193   993   193  83.844 

938   957   939   -027 

682   890   687   .337 

19 

42 

222   993   222  81.847 

967   956   968  33.694 

711   889   716   .205 

18 

43 

251   992   251  79.943 

996   955   997   -366 

740   888   745   .075 

17 

44 

280   992   280  78.126 

•03025   954  .03026   .045 

769   886   774  20.946 

16 

45 

.01309  .99991  .01309  76.390 

•03054  -99953  -03055  32.730 
083   952   084   .421 

.04798  .99885  .04803  20.819 

15 

46 

338   991   338  74729 

827   883   833   .693 

14 

47 

367   991   367  73.139 

112   952   114   .118 

856   882   862   .569 

13 

48 

396   990   396  71.615 

141   951   *43  31-821 

885   881   891   .446 

12 

49 

425   990   425  70.153 

170   950   172   .528 

914   879   920   .325 

11 

50 

•OI454  -99989  -OI455  68.750 

•03199  -99949  -03201  31.242 

.04943  .99S78  .04949  20.206 

10 

5i 

483   989   484  67.402 

228   948   230  30.960 

972   876   978   .087 

9 

52 

5*3   989   5'3  66.105 

257   947   259   .683 

.05001   875  .05007  19.970 

8 

53 

542   988   542  64.858 

286   946   288   .412 

030   873   037   .855 

7 

54 

571   988   571  63.657 

3i6   945   317   .145 

059   872   066   .740 

6 

55 

.01600  .99987  .01600  62.499 

•03345  -99944  -03346  29.882 

.05088  .99870  .05095  19.627 

5 

56 

629   987   629  61.383 

374   943   376   -624 

117   869   124   .516 

4 

57 

658   986   658  60.306 

403   942   405   -371 

146   867   153   .405 

3 

58 

687   986   687  59.266 

432   941   434   -122 

175   866   182   .296 

2 

59 

716   985   716  58.261 

461   940   463  28.877 

205   864   212   .188 

I 

60 

•01745  -99985  .0174657.290 

•03490  -99939  -03492  28.636 

.05234  .99863  .05241  19.0S1 

O 

Cob.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan, 

M. 

89 


88° 


87c 


NATURAL   SINES,    COSINES,   TANGENTS, 
3°  4° 


AND   COTANGENTS. 

5° 


65 


M. 

Sin,   Cos.   Tan.   Cot. 

Sin,   Cos.   Tan,   Cot. 

Sin.   Cos.   Tan.   Cot, 

60 

0 

.05234  .99863  .05241  19.081 

.06976  .99756  .06993  !4-301 

.08716  .99619  .08749  n.430 

i 

263   861   270  18.976 

.07005   754  .07022   .241 

745   617   778   .392 

59 

2 

292   860   299   .871 

034   752   051   .182 

774   614   807   .354 

58 

3 

321   858   328   .768 

063   750   080   .124 

803   612   837   .316 

57 

4 

35°   857   357   -666 

092   748   no   .065 

831   609   8b6   .279 

56 

5 

•05379  -99855  -05387  18.564 

.07121  .99746  .07139  14.008 

.08860  .99607  .08895  "-242 

55 

6 

408   854   416   .464 

150   744   168  13.951 

889   604   925   .205 

54 

7 

437   852   445   .366 

179   742   197   .894 

918   602   954   .168 

53 

8 

466   851   474   .268 

208   740   227   .838 

947   599   983   -J32 

52 

9 

495   849   5°3   -!7i 

237   738   256   .782 

976   596  .09013   .095 

5i 

IO 

.05524  .99847  .05533  18.075 

.07266  .99736  .07285  13.727 

.09005  .99594  -09042  11.059 

50 

ii 

553   846   562  17.9S0 

295   734   3H   -672 

034   59i   071   .024 

49 

12 

582   844   591   .886 

324   731   344   .617 

063   588   101  10.9S8 

48 

13 

611   842   620   .793 

353   729   373   -563 

092   586   130   .953 

47 

14 

640   841   649   .702 

382   727   402   .510 

121   583   159   .918 

46 

15 

.05669  .99839  .05678  1 7.61 1 

.07411  .99725  .07431  13.457 

.09150  .99580  .09189  10.883 

45 

16 

698   838   708   .521 

440   723   461   .404 

179   578   218   .848 

44 

17 

727   836   737   .431 

469   721   490   .352 

208   575   247   .814 

43 

18 

756   834   766   .343 

498   719   519   .300 

237   572   277   .780 

42 

19 

785   833   795   .256 

527   716   548   .248 

266   570   306   .746 

4i 

20 

.05814  .99831  .05824  17.169 

•07556  -997H  -07578  13-197 

•09295  -99567  -09335  IO-712 

40 

21 

844   829   854   .084 

585   712   607   .146 

324   564   365   .678 

39 

22 

873   827   883  16.999 

614   710   636   .096 

353   562   394   -645 

38 

23 

902   826   912   .915 

643   708   665   .046 

382   559   423   .612 

37 

24 

931   824   941   .832 

672   705   695  12.996 

4"   556   453   -579 

36 

25 

.05960  .99822  .05970  16.750 

.07701  .99703  .07724  12.947 

.09440  .99553  .09482  10.546 

35 

26 

989   821   999   .668 

73o   7QI   753   -898 

469   551   5"   -5'4 

34 

27 

.06018   819  .06029   -587 

759   699   782   .850 

498   548   54i   -481 

33 

28 

047   817   058   .507 

788   696   812   .801 

527   545   570   -449 

32 

29 

076   815   087   .428 

817   694   841   .754 

556   542   600   .417 

31 

30 

.06105  .99813  .06116  16.350 

.07846  .99692  .07870  12.706 

.09585  .99540  .09629  10.385 

30 

31 

134   812   145   .272 

875   689   899   .659 

614   537   658   .354 

29 

32 

163   810   175   .195 

904   687   929   .612 

642   534   688   .322 

28 

33 

192   808   204   .119 

933   685   958   .566 

671   53i   7J7   -291 

27 

34 

221   806   233   .043 

962   683   987   .520 

700   528   746   .260 

26 

35 

.06250  .99804  .06262  15.969 

.07991  .99680  .08017  12.474 

.09729  .99526  .09776  10.229 

25 

36 

279   803   291   .895 

.08020   678   046   .429 

758   523   805   .199 

24 

37 

308   801   321   .821 

049   676   075   .384 

787   520   834   .168 

23 

38 

337   799   35°   -748 

078   673   104   .339 

816   517   864   .138 

22 

39 

366   797   379   .676 

107   671   134   .295 

845   5*4   893   .108 

21 

40 

.06395  .99795  .06408  15.605 

.08136  .99668  .08163  12.251 

.09874  .995"  .09923  10.078 

20 

4i 

424   793   438   .534 

165   666   192   .207 

903   508   952   .048 

19 

42 

453   792   467   464 

194   664   221   .163 

932   506   981   .019 

18 

43 

482   790   496   .394 

223   661   251   .120 
252   659   280   .077 

961   503  .10011  9.9893 

17 

44 

511   788   525   .325 

990   500   040  .9601 

16 

45 

.06540  .99786  .06554  15.257 

.08281  .99657  .08309  12.035 

.10019  .99497  .10069  9-9310 

15 

46 

569   784   584  .189 

310   654   339  11.992 

048   494   099  .9021 

14 

47 

598   782   613   .122 

339   652   368   .950 

077   491   128  .8734 

13 

48 

627   780   642   .056 

368   649   397   .909 

106   488   158  .8448 

12 

49 

656   778   671  14.990 

397   647   427   .867 

135   485   187  .8164 

11 

50 

.06685  -99776  -06700  14.924 

.08426  .99644  .08456  11.826 

.10164  .99482  .10216  9.7882 

10 

5i 

714   774   730   .860 

455   642   485   .785 

192   479   246  .7601 

9 

52 

743   772   759   -795 

484   639   514   .745 

221   476   275  .7322 

8 

53 

773   77°   788   .732 

513   637   544   .705 

250   473   305  -7°44 

7 

54 

802   768   817   .669 

542   635   573   .664 

279   470   334  -6768 

6 

55 

.06831  .99766  .06847  H-606 

.08571  .99632  .08602  11.625 

.10308  .99467  .10363  9.6493 

5 

56 

860   764   876   .544 

600   630   632   .585 

337   464   393  -6220 

4 

57 

889   762   905   .482 

629   627   661   .546 

366   461   422  .5949 

3 

58 

918   760   934   .421 

658   625   690   .507 

395   458   452  -5679 

2 

59 

947   758   963   -361 

687   622   720   .468 

424   455   48i  -54" 

1 

60 

.06976  .99756  .06993  I4-301 

.08716  .99619  .08749  n.430 

•  10453-99452.105109.51441  0 

J 

Cos.   Sin,   Cot.   Tan, 

Cos.   Sin.   Cot,   Tan. 

Cos.   Sin.   Cot.   Tan.  |  M. 

86° 


85c 


84c 


66 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 


6° 

70 

8° 

M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

.10453  .99452  .10510  9.5144 

.12187  .99255  .12278  8.1443 

.13917.99027  .14054  7.1 154 

60 

i 

482   449   540  .4878 

216   251   308  .1248 

946   023   084  .1004 

59 

2 

511   446   569  .4614 

245   248   338  .1054 

975   OI9   "3  -0855 

58 

3 

540   443   599  4352 

274   244   367  .0860 

.14004   015   143  .0706 

57 

4 

569   440   628  .4090 

302   240   397  .0667 

033   on   173  .0558 

56 

5 

.10597  .99437  .10657  9.3831 

.12331  .99237  .12426  8.0476 

.14061  .99006  .14202  7.0410 

55 

6 

626   434   687  .3572 

360   233   456  .0285 
389   230   485  .0095 

090   002   232  .0264 

54 

7 

655   43i   7l6  -3315 

119  .98998   262  .0117 

53 

8 

684   428   746  .3060 

418   226   515  7.9906 

148   994   291  6.9972 

52 

9 

713   424   775  .2806 

447   222   544  .9718 

177   990   321  .9827 

51 

IO 

.10742  .99421  .10805  9-2553 

.12476  .99219  .12574  7.9530 

.14205  .98986  -14351  6.9682 

50 

ii 

771   418   834  .2302 

504   215   603  .9344 

234   982   381  .9538 

49 

12 

800   415   863  .2052 

533   211   633  .9158 

263   978   410  .9395 

48 

13 

829   412   893  .1803 

562   208   662  .8973 

292   973   440  .9252 

47 

14 

858   409   922  .1555 

591   204   692  .8789 

320   969   470  .9110 

46 

15 

.10887  -99406  .10952  9.1309 

.12620  .99200  .12722  7.8606 

•14349  -98965  -14499  6.8969 

45 

16 

916   402   981  .1065 

649   197   751  .8424 

378   961   529  .8828 

44 

17 

945   399  -uoi  1  .0821 

678   193   781  .8243 

407   957   559  -8687 

43 

18 

973   396   040  .0579 

706   189   810  .8062 

436   953   588  .8548 

42 

19 

.11002   393   070  .0338 

735   186   840  .7882 

464   948   618  .8408 

4i 

20 

.11031  .99390  .11099  9.0098 

.12764  .99182  .12869  7.7704 

.14493  98944  .14648  6.8269 

40 

21 

060   386   128  8.9860 

793   178   899  .7525 

522   940   678  .8131 

39 

22 

089   383   158  .9623 

822   175   929  .7348 

55 1   936   7°7  -7994 

38 

23 

118   380   187  .9387 

851   171   958  •7I7I 

580   931   737  -7856 

37 

24 

147   377   2I7  -9152 

880   167   988  .6996 

608   927   767  .7720 

36 

25 

.11176  .99374  .11246  8.8919 

.12908  .99163  .13017  7.6821 

.14637  .98923  .14796  6.7584 

35 

26 

205   370   276  .8686 

937   l6°   °47  -6647 

666   919   826  .7448 

34 

27 

234   367   3°5  -8455 

966   156   076  .6473 

695   914   856  .7313 

33 

28 

263   364   335  .8225 

995   152   106  .6301 

723   910   886  .7179 

32 

29 

291   360   364  .7996 

.13024   148   136  .6129 

752   906   915  .7045 

3i 

30 

.11320.99357  .113948.7769 

•  13053  -99H4  -13165  7.5958 

.14781  .98902  .14945  6.6912 

30 

31 

349   354   423  -7542 

081   141   195  .5787 

810   897   975  .6779 

29 

32 

378   351   452  .7317 

no   137   224  .5618 

838   893  .15005  .6646 

28 

33 

407   347   482  .7093 

139  133       254  .5449 

867   889   034  .6514 

27 

34 

436   344   511  .6870 

168   129   284  .5281 

896   884   064  .6383 

26 

35 

.11465  .99341  .11541  8.6648 

.13197  .99125  .133137.5113 

.14925  .98880  .15094  6.6252 

25 

36 

494   337   57°  -6427 

226   122   343  .4947 

954   876   124  .6122 

24 

37 

523   334   600  .6208 

254   118   372  .4781 

982   871   153  .5992 

23 

38 

552  33*       629  .5989 

283   114   402  .4615 

.15011   867   183  .5863 

22 

39 

580   327   659  .5772 

312   no   432  .4451 

040   863   213  .5734 

21 

40 

.11609.99324.116888.5555 

.13341 .99106 .13461 7.4287 

.15069  .98858  .15243  6.5606 

20 

4i 

638   320   718  .5340 

370   102   491  .4124 

097   854   272  .5478 

19 

42 

667   317   747  -5126 

399   098   521  .3962 

126   849   302  .5350 

18 

43 

696   3H   777  4913 

427   094   559  .3800 

155   845   332  .5223 

17 

44 

725   310   806  .4701 

456   091   580  .3639 

184   841   362  .5097 

16 

45 

.11754  -993°7  -"836  8.4490 

.13485  .99087  .13609  7.3479 

.15212  .98836  .15391  6.4971 

15 

46 

783   303   865  .42S0 

514   083   639  .3319 

241   832   421  .4846 

14 

47 

812   300   895  .4071 

543   079   669  .3160 

270   827   451  .4721 

13 

48 

840   297   924  .3863 

572   075   698  .3002 

299   823   481  .4596 

12 

49 

869   293   954  .3656 

600   071   728  .2844 

327   818   511  .4472 

n 

50 

.11898  .99290.119838.3450 

.13629  .99067  .13758  7.2687 

.15356.98814.155406.4348 

10 

5i 

927   286  .12013  .3245 

658   063   787  .2531 
687   059   817  .2375 

385   809   570  .4225 

9 

52 

956   283   042  .3041 

414   805   600  .4103 

8 

53 

985   279   072  .2838 

716   055   846  .2220 

442   800   630  .3980 

7 

54 

.12014   276   101  .2636 

744   051   876  .2066 

471   796   660  .3859 

6 

55 

.12043  -99272  .12131  8.2434 

•13773  -99047  -13906  7-1912 

.15500  .98791  .15689  6.3737 

5 

56 

071   269   160  .2234 

802   043   935  .1759 

529   787   719  -3617 

4 

57 

100   265   190  .2035 

831   039   965  .1607 

557   782   749  -3496 

3 

58 

129   262   219  .1837 

860   035   995  .1455 

586   778   779  -3376 

2 

59 

158   258   249  .1640 

889   031  .14024  .1304 

615   773   809  .3257 

1 

60 

.12187  .99255  -12278  8.1443 

.13917  .99027.140547.1154 

.15643  .98769  .15838  6.313S 

0 

Cos.   Ski.   Got.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

83 


82° 


81° 


NATURAL  SINES,  COSINES,  TANGENTS, 

A.ND  COTANGENTS. 

67 

9° 

10° 

11° 

M. 
o 

Sin,   Cos.   Tan,   Cot, 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot, 

60 

.15643  .98769  .15838  6.3138 

.17365  .98481  .17633  5.6713 

.19081  .98163  .19438  5.1446 

i 

672   764   868  .3019 

393   476   663  .6617 

109   157   468  .1366 

59 

2 

701   760   898  .2901 

422   471   693  .6521 

138   152   498  .1286 

58 

3 

73°   755   928  .2783 

451   466   723  .6425 

167   146   529  .1207 

57 

4 

758   75 l       958  •266° 

479   46i   753  -6329 

195   140   559  .1128 

56 

5 

.15787  .98746  .15988  6.2549 

.17508.98455  .177835.6234 

.19224  .98135  .19589  5-l°49 

55 

6 

816   741  .16017  .2432 

537   450   813  .6140 

252   129   619  .0970 

54 

7 

845   737   °47  -2316 

565   445   843  .6045 

281   124   649  .0892 

53 

8 

873   732   077  .2200 

594   440   873  .5951 

309   118   680  .0814 

52 

9 

902   728   107  .2085 

623   435   903  -5857 

338   112   710  .0736 

51 

10 

•I593I  -98723  .161376.1970 

.17651  .98430  .17933  5-5764 
680   425   963  .5671 

.19366  .98107  .19740  5.0658 

50 

ii 

959   718   l67  -i856 

395   101   770  .0581 

49 

12 

988   714   196  .1742 

708   420   993  .5578 

423   096   801  .0504 

48 

13 

.16017   709   226  .1628 

737   414.18023  .5485 

452   090   831  .0427 

47 

14 

046   704   256  .1515 

766   409   053  .5393 

481   084   861  .0350 

46 

15 

.16074  .98700  .16286  6.1402 

.17794  .98404  .18083  5.5301 

.19509  .98079  .19891  5.0273 

45 

16 

i°3   695   3l6  -I290 

823   399   "3  -5209 

538   073   921  .0197 

44 

*7 

132   690   346  .1178 

852   394   143  -5"8 

566   067   952  .0121 

43 

18 

160   686   376  .1066 

880   389   173  .5026 

595   061   982  .0045 

42 

19 

189   681   405  .0955 

909   383   203  .4936 

623   056  .20012  4.9969 

41 

20 

.16218  .98676  .16435  6.0844 

■  17937  -98378  .18233  5.4845 

.19652  .9S050  .20042  4.9894 

40 

21 

246   671   465  .0734 

966   373   263  .4755 

680   044   073  .9819 

39 

22 

275   667   495  .0624 

995   368   293  .4665 

709   039   103  .9744 

38 

23 

304   662   525  .0514 

.18023   362   323  .4575 

737  °33       133  -9669 

37 

24 

333   657   555  .0405 

052   357   353  -4486 

766   027   164  .9594 

36 

25 

.16361  .98652  .16585  6.0296 

.18081  .98352  .18384  5.4397 

.19794.98021  .201944.9520 

35 

26 

390   648   615  .0188 

109   347   4H  -43°8 

823   016   224  .9446 

34 

27 

419   643   645  .0080 

138   341   444  4219 

851   010   254  .9372 

33 

28 

447   638   674  5.9972 

166   336   474  .4131 

880   004   285  .9298 

32 

29 

476   633   704  .9865 

195   33*        5°4  4043 

908.97998   3!5  -9225 

31 

3° 

.16505  .98629  .16734  5.9758 

.18224  .98325  .18534  5-3955 

•19937  -97992  .20345  4-9152 

30 

3i 

533   624   764  .9651 

252   320   564  .3S68 

965   987   376  .9078 

29 

32 

562   619   794  .9545 

281   315   594  -3781 

994   981   406  .9006 

28 

33 

591   614   824  .9439 

309   310   624  .3694 

.20022   975   436  .8933 

27 

34 

620   609   854  .9333 

33S   304   654  .3607 

051   969   466  .8860 

26 

35 

.16648  .98604  .16884  5-9228 

.18367  .98299  .18684  5.3521 

.20079  .97963  .20497  4.87S8 

25 

36 

677   600   914  .9124 

395   294   714  .3435 

108   958   527  .8716 

24 

37 

7°6   595   944  -9019 

424   288   745  -3349 

136   952   557  -8644 

23 

38 

734   590   974  -8915 

452   283   775  .3263 

165   946   588  .8573 

22 

39 

763   585  .17004  .8811 

481   277   805  .3178 

193   940   618  .8501 

21 

40 

.16792  .98580.17033  5.8708 

.18509  .98272  .18S35  5.3093 

.20222  .97934  .20648  4.8430 

20 

4i 

820   575   063  .8605 

538   267   865  .3008 

250   928   679  .8359 

19 

42 

849   570   093  .8502 

567   261   S95  .2924 

279   922   709  .8288 

18 

43 

878   565   123  .8400 

595   256   925  .2839 

307   916   739  .8218 

17 

44 

906   561   153  .8298 

624   250   955  .2755 

336   910   770  .8147 

16 

45 

•16935  -98556  -i7l83  5-8i97 

.18652  .98245  .18986  5.2672 

.20364  .97905  .20800  4.8077 

15 

46 

964   551   213  .8095 

681   240  .19016  .2588 

393   899   830  .8007 

14 

47 

992   546   243  .7994 

710   234   046  .2505 

421   893   861  .7937 

13 

48 

.17021   541   273  .7894 

738   229   076  .2422 

450   887   891  .7867 

12 

49 

050   536   303  .7794 

767   223   106  .2339 

478   881   921  .7798 

11 

50 

.17078.98531  .17333  5.7694 

.18795  .98218.191365.2257 

.20507  .97875  .20952  4-7729 

10 

5i 

107   526   363  .7594 

824   212   166  .2174 

535   869   982  .7659 

9 

52 

136   521   393  -7495 

852   207   197  .2092 
881   201   227  .2011 

563   863.21013  .7591 

8 

53 

164   516   423  .7396 

592   857   043  .7522 

7 

54 

193   511   453  -7297 

910   196   257  .1929 

620   851   073  .7453 

6 

55 

.17222  .98506  .17483  5.7199 

.1S938  .98190  .19287  5.1848 

.20649.97845  .211044.7385 

5 

56 

250   5QI   5'3  -7101 

967   185   317  .1767 

677   839   134  .7317 

4 

57 

279   496   543  .7004 

995   179   347  -1686 

706   833   164  .7249 

3 

58 

308   491   573  .6906 

.19024   174   378  .1606 

734   827   195  -71^1 

2 

59 

336   486   603  .6809 

052   168   408  .1526 

763   821   225  .7114 

1 

60 

.17365  .98481  .176335-6713 

.19081  .98163  .19438  5.1446 

.20791  .97815  .21256  4.7046 

0 

Cos,   Sin.   Cot,   Tan. 

Cos,   Sin.   Cot,   Tan. 

Cos.   Sin,   Cot.   Tan. 

M, 

8CP 


79 


78o 


68         NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 
12°  13°  14° 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan,   Cot. 

Sin,   Cos.   Tan.   Cot. 

o 

.20791  .97815  .212564.7046 

.22495  .97437  .23087  4.3315 

.24192  .97030  .24933  4-0108 

60 

i 

820   809   286  .6979 

523   430   "7  3257 

220   023   964  .0058 

59 

2 

848   803   316  .6912 

552   424   148  .3200 

249   015   995  .0009 

58 

3 

877   797   347  -6845 

580   417   179  .3143 

277   008  .25026  39959 

57 

4 

905   79i   377  -6779 

608   411   209  .3086 

305   001   056  .9910 

56 

5 

•20933  -97784  .21408  4.6712 

.22637  -97404  -23240  4-3029 

•24333  -96994  -25087  3.9861 

55 

6 

962   778   438  .6646 

665   398   271  .2972 

362   987   118  .9812 

54 

7 

990   772   469  .6580 

693   39i   3QI  -2916 

390   980   149  .9763 

53 

8 

.21019   766   499  .6514 

722   384   332  .2859 

418   973   180  .9714 

52 

9 

047   760   529  .6448 

75°   378   363  -2803 

446   966   211  .9665 

5i 

IO 

.21076  .97754  .21560  4.6382 

•22778  .97371  -23393  4.2747 

.24474  .96959  .252423.9617 

50 

ii 

104   748   590  .6317 

807   365   424  -2691 
835   358   455  -2635 

503   952   273  .9568 

49 

12 

132   742   621  .6252 

531   945   304  .9520 

48 

13 

161   735   651  .6187 

863   351   485  .2580 

559   937   335  -947* 

47 

14 

189   729   682  .6122 

892   345   5l6  -2524 

587   93o   366  .9423 

46 

15 

.21218  .97723  .217124.6057 

.22920  .97338  .23547  4.2468 

.24615  .96923  .25397  3.9375 

45 

16 

246   717   743  .5993 

948  33*       578  -2413 

644   916   428  .9327 

44 

17 

275   7"   773  -5928 

977   325   608  .2358 

672   909   459  .9279 

43 

18 

303   705   804  .5864 

.23005   318   639  .2303 

700   902   490  .9232 

42 

19 

331   698   834  .5800 

033   3"   670  .2248 

728   894   521  .9184 

41 

20 

.21360  .97692  .21864  4-5736 

■23062  .97304  .23700  4.2193 

.24756  .96887  .25552  3.9136 

40 

21 

388   686   895  -5673 

090   298   731  .2139 

784   880   583  .9089 

39 

22 

417   680   925  .5609 

118   291   762  .2084 

813   873   614  .9042 

38 

23 

445   673   956  .5546 

146   284   793  .2030 

841   866   645  .8995 

37 

24 

474   667   986  .5483 

175   278   823  .1976 

869   858   676  .8947 

36 

25 

.21502  .97661  .22017  4-5420 

.23203.97271  .238544.1922 

.24897  .96851  .25707  3.8900 

35 

26 

530   655   047  .5357 

231   264   885  .1868 

925   844   738  .S854 

34 

27 

559   648   078  .5294 

260   257   916  .1814 

954   837   769  .8S07 

33 

28 

587   642   108  .5232 

288   251   946  .1760 

982   829   800  .8760 

32 

29 

616   636   139  .5169 

316   244   977  .1706 

.25010   822   831  .8714 

3i 

30 

.21644  .97630  .22169  4-5 IQ7 

•23345  -97237  -24008  4.1653 

.25038  .96815  .25862  3.8667 

30 

31 

672   623   200  .5045 

373   230   039  .1600 

066   807   893  .8621 

29 

32 

701   617   231  .4983 

401   223   069  .1547 

094   800   924  .8575 

28 

33 

729   611   261  .4922 

429   217   100  .1493 

122   793   955  .8528 

27 

34 

758   604   292  .4860 

458   210   131  .1441 

151   786   986  .8482 

26 

35 

.21786.97598.223224.4799 

.23486  .97203  .24162  4.1388 

.25179  .96778  .26017  3-8436 

25 

36 

814   592   353  -4737 

514   196   193  .1335 

207   771   048  .8391 

24 

37 

843   585   383  -4676 

542   189   223  .1282 

235   764   079  .8345 

23 

38 

871   579   414  4615 

571   182   254  .1230 

263   756   no  .8299 

22 

39 

899   573   444  -4555 

599   176   285  .1178 

291   749   141  .8254 

21 

40 

.21928  .97566  .22475  4-4494 

.23627  .97169  .24316  4.1 126 

.25320  .96742  .26172  3.8208 

20 

4i 

956   560   505  .4434 

656   162   347  .1074 
684   155   377  -I022 

348   734   203  .8163 

19 

42 

985   553   536  -4373 

376   727   235  .8118 

18 

43 

•22013   547   567  4313 

712   148   408  .0970 

404   719   266  8073 

17 

44 

041   54i   597  4253 

740   141   439  .0918 

432   712   297  .802S 

16 

45 

.22070  .97534  .22628  4.4194 

.23769.97134.244704.0867 

.25460  .96705  .26328  3.7983 

15 

46 

098   528   658  .4134 
126   521   689  .4075 

797   127   501  .0815 

488   697   359  .7938 

14 

47 

825   120   532  .0764 

516   690   390  .7893 

13 

48 

'55   5*5   7'9  4015 

853   "3   562  -0713 

545   682   421  .7848 

12 

49 

183   508   750  .3956 

882   106   593  .0662 

573   675   452  .7804 

n 

50 

.22212  .97502  .22781  4.3897 

.23910  .97100  .24624  4.061 1 

.25601  .96667  .26483  3.7760 

10 

5i 

240   496   811  .3838 

938   093   655  .0560 

629   660   515  .7715 

9 

52 

268   489   842  .3779 

966   086   686  .0509 

657   653   546  .7671 
685   645   577  .7627 

8 

53 

297   483   872  .3721 

995   °79   7'7  -°459 

7 

54 

325   476   903  .3662 

.24023   072   747  .0408 

713   638   608  .7583 

6 

55 

•22353  -97470  .22934  4.3604 
382   463   964  .3546 

.24051  .97065  .247784-0358 

.25741  .96630  .26639  3-7539 

5 

56 

079   058   809  .0308 

769   623   670  .7495 

4 

57 

4io   457   995  -3488 

108   051   840  .0257 

798   615   701  .7451 

3 

58 

438   450  .23026  .3430 

136   044   871  .0207 

826   608   733  .7408 

2 

59 

467   444   056  .3372 

164   037   902  .0158 

854   600   764  .7364 

1 

60 

.22495  -97437-230874-3315 

.24192  .97030  .24933  40108 

.25882  .96593  .26795  3.7321 

0 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

770 


76° 


75° 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS.        69 

15°  16°  17° 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

.25882  .96593  .26795  3.7321 

.27564  .96126  .28675  34874 

.29237  .95630  .30573  3.2709 

60 

i 

910   585   826  .7277 

592   118   706  .4836 

265   622   605  .2675 

59 

2 

938   578   857  .7234 

620   no   738  .4798 

293   613   637  .2641 

58 

3 

966   570   888  .7191 

648   102   769  .4760 

321   605   669  .2607 

57 

4 

994   562   920  .7148 

676   094   801  .4722 

348   596   700  .2573 

56 

5 

.26022  .96555  .26951  3.7105 

.27704  .96086  .28832  3.4684 

•2937°  -95588  .30732  3-2539 

55 

6 

°5°   547   982  .7062 

731   078   864  .4646 

404   579   764  .2506 

54 

7 

079   540  .27013  .7019 

759   070   895  .4608 

432   571   796  .2472 

53 

8 

107   532   044  .6976 

787   062   927  .4570 

460   562   828  .2438 

52 

9 

135   524   076  .6933 

815   054   958  .4533 

487   554   860  .2405 

5i 

IO 

.26163  .96517  .27107  3.6891 

.27843  .96046  .28990  3.4495 

•295I5  -95545  -30891  3-2371 

50 

ii 

191   509   138  .6848 

871   037  .29021  .4458 

543   536   923  -2338 

49 

12 

219   502   169  .6806 

899   029   053  .4420 

571   528   955  -2305 

48 

13 

247   494   201  .6764 

927   021   084  .4383 

599   5X9   987  -2272 

47 

14 

275   486   232  .6722 

955   013   116  .4346 

626   511  .31019  .2238 

46 

*5 

.26303  .96479  .27263  3.6680 

.27983  .96005  .29147  3.4308 

•29654 -955°2 -31051  3.2205 

45 

16 

331   471   294  .6638 

.28011  .95997   179  .4271 

682   493   083  .2172 

44 

17 

359   463   326  .6596 

039   989   210  .4234 

710   485   115  .2139 

43 

18 

387   45°   357  -0554 

067   981   242  .4197 

737   476   147  -2106 

42 

19 

415   448   388  .6512 

095   972   274  .4160 

765   467   178  .2073 

4i 

20 

.26443  .96440  .27419  3.6470 

.28123  -95964  -29305  34124 

•29793  -95459  .31210  3.2041 

40 

21 

47i   433   45 l    -6429 

l5°       956   337  4087 

821   450   242  .2008 

39 

22 

500   425   482  .6387 

178   948   368  .4050 

849   441   274  .1975 

38 

23 

528   417   513  .6346 

206   940   400  .4014 

876   433   306  .1943 

37 

24 

556   410   545  .6305 

234   931   432  .3977 

904   424  33^    -1910 

36 

25 

.26584  .96402  .27576  3.6264 

.28262  .95923  .29463  3.3941 

•29932  .95415  -31370  3-1878 

35 

26 

612   394   607  .6222 

290   915   495  .3904 

960   407   402  .1845 

34 

27 

640   386   638  .6181 

318   907   526  .3868 

987   398   434  .1813 

33 

28 

668   379   670  .6140 

346   898   558  .3832 

.30015   389   466  .17S0 

32 

29 

696   371   701  .6100 

374   890   590  .3796 

043   380   498  .1748 

3i 

3° 

.26724  .96363  .27732  3.6059 

.28402  .95882  .29621  3.3759 

•30071  .95372  .315303.1716 

30 

31 

752   355   7°4  .6018 
780   347   795  .5978 

429   874   653  .3723 

098   363   562  .16S4 

29 

32 

457   865   685  .3687 

'26   354   594  -1652 

28 

33 

808   340   826  .5937 

485   857   716  .3652 

154   345   626  .1620 

27 

34 

836   332   858  .5897 

513   849   748  .3616 

182   337   658  .1588 

26 

35 

.26864  .96324  .27889  3.5856 

.28541  .95841  .29780  3.3580 

.30209  .95328  .31690  3.1556 

25 

36 

892   316   921  .5816 

569   832   811  .3544 

237   319   722  .1524 

24 

37 

920   308   952  .5776 

597   824   843  .3509 

265   310   754  -1492 

23 

38 

948   301   983  .5736 

625   816   875  .3473 

292   301   786  .1460 

22 

39 

976   293  .28015  .5696 

652   807   906  .3438 

320   293   818  .1429 

21 

40 

.27004  .96285  .28046  3.5656 

.28680  .95799  .29938  3.3402 

.30348  .95284  .31850  3.1397 

20 

4i 

032   277   077  .5616 

708   791   970  .3367 

376   275   882  .1366 

19 

42 

060   269   109  .5576 

736   782  .30001  .3332 

403   266   914  .1334 

18 

43 

088   261   140  .5536 

764   774   033  .3297 

431   257   946  .1303 

17 

44 

116   253   172  .5497 

792   766   065  .3261 

459   248   978  .1271 

16 

45 

.27144  .96246  .28203  3.5457 

.28820  .95757  .30097  3.3226 

.30486  .95240  .32010  3.1240 

15 

46 

172   238   234  .5418 

847   749   128  .3191 

514   231   042  .1209 

14 

47 

200   230   266  .5379 

875   740   160  .3156 

542   222   074  .1178 

13 

48 

228   222   297  .5339 

903   732   192  -3122 

570   213   106  .1146 

12 

49 

256   214   329  .5300 

931   724   224  .3087 

597   204   139  .1115 

11 

50 

.27284  .96206  .28360  3.5261 

.28959  .95715  .30255  3.3052 

.30625  .95195  .32171  3.1084 

10 

5i 

312   198   391  .5222 

987   707   287  .3017 

653   186   203  .1053 

9 

52 

340   190   423  .5183 

.29015   698   319  .2983 

680   177   235  .1022 

8 

53 

368   182   454  .5144 

042   690   351  .2948 

708   168   267  .0991 

7 

54 

396   174   486  .5105 

070   681   382  .2914 

736   159   299  .0961 

6 

55 

.27424  .96166  .28517  3.5067 

.29098  .95673  .30414  3.2879 

•30763  ^S^o -32331  30930 

5 

56 

452   158   549  .5028 

126   664   446  .2845 

791   142   363  .0899 

4 

57 

480   150   580  .4989 

154   656   478  .2811 

819  133      396  .0868 

3 

58 

508   142   612  .4951 

182   647   509  .2777 

846   124   428  .0838 

2 

59 

536   134   643  .4912 

209   639   541  .2743 

874   115   460  .0807 

1 

60 

.27564  .96126  .28675  3.4874 

.29237  .95630  .30573  3.2709 

.30902  .95106  .32492  3.0777 

0 

IT 

Cos.   Sin.   Cot.   Tan. 

Cos,   Sin.   Cot,   Tan. 

Cos.   Sin.   Cot.   Tan. 

740 


73° 


72r 


70 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 
18°  19°  20° 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin,   Cos.   Tan.   Cot. 

Sin,   Cos.   Tan.   Cot. 

o 

.30902  .95106  .32492  3.0777 

•32557  -94552  -'34433  2.9042 

.34202  .93969  .36397  2.7475 

60 

i 

929   097   524  .0746 

584   542   465  .9015 

229   959   43°  -745° 

59 

2 

957   088   556  .0716 

612   533   498  .8987 

257   949   463  .7425 

58 

3 

985   079   588  .0686 

°39   523   53°  -8960 

284   939   496  .7400 

57 

4 

.31012   070   621  .0655 

667   514   563  .8933 

311   929   529  .7376 

55 

5 

.31040  .95061  .32653  3.0625 

.32694  .94504  .34596  2.8905 

•34339  -93919  -36562  2.7351 

55 

6 

068   052   685  .0595 

722   495   628  .8878 

366   909   595  .7326 

54 

7 

095   °43   7*7  -0565 

749   485   661  .8851 

393   899   628  .7302 

53 

8 

123   033   749  .0535 

777   476   693  -8824 

421   889   661  .7277 

52 

9 

151   024   782  .0505 

804   466   726  .8797 

448   879   694  .7253 

5i 

IO 

.31178.95015  .328143.0475 

.32832  .94457  .34758  2.8770 

•34475  -93869  -36727  2.7228 

50 

ii 

206   006   846  .0445 

859   447   79i  -8743 

503   859   760  .7204 

49 

12 

233  -94997   878  .0415 

887   438   824  .8716 

53o   849   793  .7179 

48 

13 

261   988   911  .0385 

914   428   856  .8689 

557   839.  826  .7155 

47 

14 

289   979   943  .0356 

942   418   889  .8662 

584   829   859  .7130 

46 

15 

.31316  .94970  .32975  3.0326 

.32969  .94409  .34922  2.8636 

.34612  .93819  .36892  2.7106 

45 

16 

344   961  .33007  .0296 

997   399   954  -8609 

639   809   925  .7082 

44 

17 

372   952   040  .0267 

.33024   390   987  .8582 

666   799   958  .7058 

43 

18 

399   943   072  .0237 

051   380  .35020  .8556 

694   789   991  -7034 

42 

19 

427   933   i°4  -0208 

079   37°   052  -8529 

721   779  .37024  .7009 

4i 

20 

.31454.94924.331363.0178 

.33106  .94361  .35085  2.8502 

■34748  .93769  -37°57  2.6985 

40 

21 

482   915   169  .0149 

134   351   118  .8476 

775   759   090  .6961 

39 

22 

510   906   201  .0120 

161   342   150  .8449 

803   748   123  .6937 

38 

23 

537   897   233  .0090 

189   332   183  .8423 

830   738   157  -6913 

37 

24 

565   888   266  .0061 

216   322   216  .8397 

857   728   190  .6889 

36 

25 

•3IS93  -94878  .33298  3-0032 

•33244  -943' 3  -35248  2.8370 

.34884  .93718  .37223  2.6865 

35 

26 

620   869   330  .0003 

271   303   281  .8344 

912   708   256  .6841 

34 

27 

648   860   363  2.9974 

298   293   314  .8318 

939   698   289  .6818 

33 

28 

675   851   395  .9945 

326   284   346  .8291 

966   688   322  .6794 

32 

29 

703   842   427  .9916 

353   274   379  .S265 

993   677   355  .6770 

3i 

30 

.31730  .94832  .33460  2.9887 

.33381  .94264  .35412  2.8239 

.35021  .93667  .37388  2.6746 

30 

31 

758   823   492  .9858 

408   254   445  .8213 

048   657   422  .6723 

29 

32 

786   814   524  .9829 

436   245   477  .8187 

075   647   455  -6699 

28 

33 

813   805   557  .9800 

463   235   510  .8161 

102   637   488  .6675 

27 

34 

841   795   589  -9772 

490   225   543  .8135 

130   626   521  .6652 

26 

35 

.31868  .94786  .33621  2.9743 

.33518  .94215  .35576  2.8109 

■35*57  -93616  .37554  2.6628 

25 

36 

896   777   654  .9714 

545   206   608  .S0S3 

184   606   588  .6605 

24 

37 

923   768   686  .9686 

573   196   641  .8057 

211   596   621  .6581 

23 

38 

951   758   718  .9657 

600   186   674  .S032 

239   585   654  .6558 

22 

39 

979   749   75  *  -9629 

627   176   707  .8006 

266   575   687  .6534 

21 

40 

.32006  .94740  .33783  2.9600 

.33655  .94167  .35740  2.7980 

•35293-93565  .377202.6511 

20 

4i 

°34   730   816  .9572 

682   157   772  .7955 

320   555   754  -6488 

19 

42 

061   721   848  .9544 

710   147   805  .7929 

347   544   787  -6464 

18 

43 

089   712   881  .9515 

737   137   838  .7903 

375   534   820  .6441 

17 

44 

116   702   913  .9487 

764   127   871  .7878 

402   524   853  .6418 

16 

45 

.32144  .94693  .33945  2.9459 

•33792  .94118  .35904  2.7852 

•35429  -935*4  .37887  2.6395 

15 

46 

171   684   978  .9431 

819   108   937  .7827 

456   503   920  .6371 

14 

47 

199   674 .34010  .9403 

846   098   969  .7S01 

484   493   953  -6348 

13 

48 

227   665   043  .9375 

874   088  .36002  .7776 

511   483   986  .6325 

12 

49 

254   656   075  .9347 

901   078   035  .7751 

538   472  .38020  .6302 

'  11 

5° 

.32282  .94646  .34108  2.9319 

.33929  .94068  .36068  2.7725 

•35565  -93462  .38053  2.6279 

10 

5i 

309   637   140  .9291 

956   058   101  .7700 

592   452   086  .6256 

9 

52 

337   627   173  .9263 

983   049   134  .7675 

619   441   120  .6233 

8 

53 

364   618   205  .9235 

.34011   039   167  .7650 

647   431   153  .6210 

7 

54 

392   609   238  .9208 

038   029   199  .7625 

674   420   186  .6187 

6 

55 

.32419  .94599  .34270  2.9180 

.34065  .94019  .36232  2.7600 

.35701  .93410  .38220  2.6165 

5 

56 

447   590   303  -9152 

093   009   265  .7575 

728   400   253  .6142 
755   389   286  .6119 

4 

57 

474   580   335  -9I25 

120  .93999   298  .7550 

3 

58 

502   571   368  .9097 

147   989   33i  -7525 

782   379   320  .6096 

2 

59 

529   561   400  .9070 

175   979   364  .7500 

810   368   353  .6074 

1 

60 

•32557  -94552  -34433  2.9042 

.34202  .93969  .36397  2.7475 

■35837  -93358  -38386  2.6051 

0 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

71° 


7CP 


69: 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 
21°  22°  23° 


71 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

•35837 -93358 -38386  2.6051 

.37461  .92718  .40403  2.4751 

.39073  .92050  .42447  2.3559 

60 

i 

864   348   420  .6028 

488   707   436  .4730 

100   039   482  .3539 

59 

2 

891   337   453  -6o°6 

515   697   470  .4709 

127   028   516  .3520 

58 

3 

918   327   487  .5983 

542   686   504  .4689 

153   016   551  .3501 

57 

4 

945   3i6   520  .5961 

569   675   538  .4668 

180   005   585  .3483 

56 

5 

•35973  -93306  .38553  2.5938 

•37595  -92664  .40572  2.4648 

.39207  .91994  .42619  2.3464 

55 

6 

.36000   295   587  .5916 

622   653   606  .4627 

234   982   654  .3445 

54 

7 

027   285   620  .5893 

649   642   640  .4606 

260   971   688  .3426 

53 

8 

054   274   654  .5871 

676   631   674  .4586 

287   959   722  .3407 

52 

9 

081   264   687  .5848 

703   620   707  .4566 

314   948   757  .3388 

5i 

IO 

.36108  .93253  .38721  2.5826 

.37730  .92609  .40741  2.4545 

•39341  -91936  42791  2.3369 

50 

ii 

135   243   754  -5804 

757   598   775  4525 
784   587   809  .4504 

367   925   826  .3351 

49 

12 

162   232   787  .5782 

394   914   860  .3332 

48 

13 

190   222   821  .5759 

811   576   843  .4484 

421   902   894  .3313 

47 

14 

217   211   854  .5737 

838   565   877  .4464 

448   891   929  .3294 

46 

15 

.36244  .93201  .38888  2.5715 

.37865  .92554.40911  2.4443 

.39474.91879.429632.3276 

45 

16 

271   190   921  .5693 

892   543   945  .4423 

501   868   998  .3257 

44 

17 

298   180   955  .5671 

9i9   532   979  -4403 

528   856  .43032  .3238 

43 

18 

325   169   988  .5649 

946   521  .41013  .4383 

555   845   067  .3220 

42 

19 

352   159  -39022  .5627 

973   5IG   °47  4362 

581   833   101  .3201 

4i 

20 

•36379  -93148  .39055  2.5605 

•37999  -92499  .41081  2.4342 

.39608  .91822  .43x36  2.3183 

40 

21 

406   137   089  .5583 

.38026   488   115  .4322 

635   810   170  .3164 

39 

22 

434   127   122  .5561 

053   477   149  -4302 

661   799   205  .3146 

38 

23 

461   116   156  .5539 

080   466   183  .4282 

688   787   239  .3127 

37 

24 

488   106   190  .5517 

107   455   217  .4262 

7i5   775   274  .3109 

36 

25 

•36515  -93095  -39223  2.5495 

.38134.92444.41251  2.4242 

.39741  .91764  .43308  2.3090 

35 

26 

542   084   257  .5473 

161   432   285  .4222 

768   752   343  .3072 

34 

27 

569   074   290  .5452 

188   421   319  .4202 

795   74i   378  .3053 

33 

28 

596   063   324  .5430 

215   410   353  .4182 

822   729   412  .3035 

32 

29 

623   052   357  .5408 

241   399   387  4162 

848   718   447  .3017 

3i 

30 

.36650  .93042  .39391  2.5386 

.38268  .92388  .41421  2.4142 

.39875  .91706  .43481  2.2998 

30 

3i 

677   031   425  .5365 

295   377   455  4122 

902   694   516  .2980 

29 

32 

704   020   458  .5343 

322   366   490  .4102 

928   683   550  .2962 

28 

33 

731   010   492  .5322 

349   355   524  4083 

955   671   585  .2944 

27 

34 

758.92999   526  .5300 

376   343   558  4063 

982   660   620  .2925 

26 

35 

.36785  .92988  .39559  2.5279 

.38403  .92332  .41592  2.4043 

.40008  .91648  .43654  2.2907 

25 

36 

812   978   593  .5257 

430   321   626  .4023 

035   636   689  .2889 

24 

37 

839   967   626  .5236 

456   310   660  .4004 

062   625   724  .2871 

23 

38 

867   956   660  .5214 

483   299   694  .3984 

088   613   758  .2853 

22 

39 

894   945   694  .5193 

510   287   728  .3964 

115   601   793  .2835 

21 

40 

.36921  .92935  .39727  2.5172 

•38537  -92276  .41763  2-3945 

.40141  .91590  .43828  2.2817 

20 

4i 

948   924   761  .5150 

564   265   797  .3925 

168   578   862  .2799 

19 

42 

975   913   795  -5I29 

591   254   831  .3906 

195   566   897  .2781 

18 

43 

.37002   902   829  .5108 

617   243   865  .3886 

221   555   932  .2763 

17 

44 

029   892   862  .5086 

644   231   899  .3867 

248   543   966  .2745 

16 

45 

.37056  .92881  .39896  2.5065 

.38671  .92220  .41933  2.3847 

40275  -91531  44001  2.2727 

15 

46 

083   870   930  .5044 

698   209   968  .3828 

301   519   036  .2709 

14 

47 

no   859   963  .5023 

725   198  .42002  .3808 

328   508   071  .2691 

13 

48 

137   849   997  .5002 

752   186   036  .3789 

355   496   105  .2673 

12 

49 

164   838  .40031  .4981 

778   175   070  .3770 

381   484   140  .2655 

n 

50 

.37191  .92827  .40065  2.4960 

.38805  .92164  .42105  2.3750 

.40408  .91472  44*75  2.2637 

10 

5i 

218   816   098  .4939 

832   152   139  .3731 

434   461   210  .2620 

9 

52 

245   805   132  .4918 

859   Hi   i73  -3712 

461   449   244  .2602 

8 

53 

272   794   166  .4897 

886   130   207  .3693 

488   437   279  .2584 

7 

54 

299   784   200  .4876 

912   119   242  .3673 

514   425   314  .2566 

6 

55 

.37326  .92773  .40234  2.4855 

•38939  .92107  .42276  2.3654 

.40541  .91414  .44349  2.2549 

5 

56 

353   762   267  .4834 

966   096   310  .3635 

567   402   384  .2531 

4 

57 

380   751   301  .4813 

993   085   345  .3616 

594   390   418  .2513 

3 

58 

407   740   335  -4792 

.39020   073   379  .3597 

621   378   453  .2496 

2 

59 

434   729   369  -4772 

046   062   413  .3578 

647   366   488  .2478 

1 

60 

.37461  .92718  .40403  2.4751 

.39073  .92050  .42447  2.3559 

.40674  .91355  .44523  2.2460 

0 

Cos.   Sin.   Cot.   Tan. 

Cos,   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

68° 


67< 


66° 


72 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 
24°  25°  26° 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

.40674  .91355  .44523  2.2460 

.42262  .90631  .46631  2.1445 

.43837  .89879  .48773  2.0503 

60 

i 

700   343   558  .2443 

288   618   666  .1429 

863   867   809  .0488 

59 

2 

727   33i   593  -2425 

315   606   702  .1413 

889   854   845  .0473 

58 

3 

753   319   627  .2408 

34i   594   737  -1396 

916   841   881  .0458 

57 

4 

780   307   662  .2390 

367   582   772  .1380 

942   828   917  .0443 

56 

5 

.40806  .91295  .44697  2.2373 

.42394  .90569  .46808  2.1364 

.43968  .89816  .48953  2.0428 

55 

6 

833       283   732  .2355 

420   557   843  .1348 

994   803   989  .0413 

54 

7 

860   272   767  .2338 

446   545   879  .1332 

.44020   790  .49026  .0398 

53 

.8 

886   260   802  .2320 

473   532   914  -1315 

046   777   062  .0383 

52 

9 

913   248   837  .2303 

499   520   95°  -I299 

072   764   098  .0368 

5i 

IO 

.40939  .91236  .44872  2.2286 

.42525  .90507  .46985  2.1283 

.44098  .89752  .49134  2.0353 

50 

ii 

966   224  .  907  .2268 

552   495  .47021  .1267 

124   739   170  .0338 

49 

12 

992   212   942  .2251 

578   483   056  .1251 

151   726   206  .0323 

48 

i3 

.41019   200   977  .2234 

604   470   092  .1235 

177   713   242  .0308 

47 

14 

045   188  .45012  .2216 

631   458   128  .1219 

203   700   278  .0293 

46 

15 

.41072  .91176  .45047  2.2199 

.42657  .90446  .47163  2.1203 

.44229  .89687  .49315  2.0278 

45 

16 

098   164   082  .2182 

683   433   199  -"87 

255   674   35i  -0263 

44 

17 

125   152   117  .2165 

709   421   234  .1171 

281   662   387  .0248 

43 

18 

151   140   152  .2148 

736   408   270  .1155 

307   649   423  .0233 

42 

19 

178   128   187  .2130 

762   396   305  .1139 

333   636   459  .0219 

4i 

20 

.41204  .91116  .45222  2.21 13 

.42788.90383.47341  2.1 123 

.44359  .89623  .49495  2.0204 

40 

21 

231   104   257  .2096 

815   37i   377  -H07 

385   610   532  .0189 

39 

22 

257   092   292  .2079 

841   358   412  .1092 

411   597   568  .0174 

38 

23 

284   080   327  .2062 

867   346   448  .1076 

437   584   604  .0160 

37 

24 

310   068   362  .2045 

894   334   483  .1060 

464   571   640  .0145 

36 

25 

.41337  .91056.453972.2028 

.42920.90321  .47519  2.1044 

•44490  .89558  .49677  2.0130 

35 

26 

363   044   432  .2011 

946   309   555  -I028 

516   545   713  .0115 

34 

27 

390   032   467  .1994 

972   296   590  .1013 

542   532   749  .0101 

33 

28 

416   020   502  .1977 

999   284   626  .0997 

568   519   786  .0086 

32 

29 

443   °°8   538  .i960 

.43025   271   662  .0981 

594   506   822  .0072 

3i 

30 

.41469  .90996  .45573  2.1943 

.43051  .90259  .47698  2.0965 

.44620  .89493  .49858  2.0057 

30 

31 

496   984   608  .1926 

077   246   733  .0950 

646   480   894  .0042 

29 

32 

522   972   643  .1909 

104   233   769  .0934 

672   467   931  .0028 

28 

33 

549   960   678  .1892 

130   221   805  .0918 

698   454   967  .0013 

27 

34 

575   948  7l3    -1876 

156   208   840  .0903 

724   441  .50004  1.9999 

26 

35 

.41602  .90936  .45748  2.1859 

.43182  .90196  .47876  2.0887 

.44750  .89428  .50040  1.9984 

25 

36 

628   924   784  .1842 

209   183   912  .0872 

776   415   076  .9970 

24 

37 

655   911   819  .1825 

235  I7I       948  -0856 

802   402   113  .9955 

23 

38 

681   899   854  .1808 

261   158   984  .0840 

828   389   149  .9941 

22 

39 

707   887   889  .1792 

287   146  .48019  .0825 

854   376   185  .9926 

21 

40 

.41734.90875.459242.1775 

•43313  -90133  48055  2.0809 

.44880  .89363  .50222  1.9912 

20 

4i 

760   863   960  .1758 

340   120   091  .0794 

906   350   258  .9897 

19 

42 

787   851   995  .1742 

366   108   127  .0778 

932   337   295  .9883 

18 

43 

813   839.46030  .1725 

392   095   163  .0763 

958   324  33i    .986S 
984   311   368  .9854 

17 

44 

840   826   065  .1708 

418   082   198  .0748 

16 

45 

.41866  .90814  .46101  2.1692 

.43445  .90070  .48234  2.0732 

.45010  .89298  .50404^1.9840 

15 

46 

892   802   136  .1675 

471   057   270  .0717 

036   285   441  .9825 

14 

47 

919   790   171  .1659 

497   °45   3o6  .0701 

062   272   477  .9811 

13 

48 

945   778   206  .1642 

523   032   342  .0686 

088   259   514  .9797 

12 

49 

972   766   242  .1625 

549   019   378  .0671 

114   245   550  .9782 

11 

50 

.41998  .90753  .46277  2.1609 

■43575  90007  .48414  2.0655 

.45140  .89232  .50587  1.9768 

10 

5i 

.42024   741   312  .1592 

602  .89994   450  .0640 

166   219   623  .9754 

9 

52 

051   729   348  .1576 

628   981   486  .0625 

192   206   660  9740 

8 

53 

077   7i7   383  1560 

654   968   521  .0609 

218   193   696  .9725 

7 

54 

104   704   418  .1543 

680   956   557  .0594 

243   180   733  .9711 

6 

55 

.42130  .90692  .46454  2.1527 

.43706  .89943  .48593  2.0579 

.45269  .89167  .50769  1.9697 

5 

56 

156   680   489  .1510 

733   93o   629  .0564 

295   x53   8o6  -9683 

4 

57 

183   668   525  .1494 

759   918   665  .0549 

321   140   843  .9669 

3 

58 

209   655   560  .1478 

785   905   7°i  0533 

347   127   879  .9654 

2 

59 

235   643   595  .1461 

811   892   737  .0518 

373   114   916  .9640 

1 

60 

.42262  .90631  .46631  2.1445 

•43837  -89879  48773  2.0503 

45399  -89101  .50953  1.9626 

0 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

65° 


64° 


63 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 
27°  28^  29° 


73 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

•45399  -89101  -50953  x-9626 

.46947.88295  .53171  1.8S07 

.48481  .87462  .55431  1.8040 

60 

i 

425   087   989  .9612 

973   281   208  .8794 

506   448   469  .8028 

59 

2 

451   074.51026  .959S 

999   267   246  .8781 

532   434   5°7  -8016 

58 

3 

477   061   063  .9584 

.47024   254   283  .8768 

557   420   545  .8003 

57 

4 

5°3   048   099  .9570 

050   240   320  .8755 

583   406   583  .7991 

56 

5 

.45529.89035  .511361.9556 

.47076  .88226  .53358  1.8741 

.48608  .87391  .55621  1.7979 

55 

6 

554   021   173  .9542 

101   213   395  .8728 

634   377   659  .7966 

54 

7 

580   008   209  .95 2S 

127   199   432  .8715 

659   363   697  .7954 

53 

8 

606  .8S995   246  .9514 

153   185   470  .8702 

684   349   736  .7942 

52 

9 

632   981   283  .9500 

178   172   507  .8689 

7Jo   335   774  -793Q 

5i 

IO 

.45658  .88968  .51319  1.9486 

.47204.88158.53545  1.8676 

•48735  -87321  -55812  1. 7917 

50 

ir 

684   955   356  -9472 

229   144   582  .8663 

761   306   850  .7905 

49 

12 

710   942   393  .9458 

255   130   620  .8650 

786   292   888  .7893 

48 

13 

736   928   430  .9444 

281   117   657  .8637 

811   278   926  .7881 

47 

M 

762   915   467  .9430 

306   103   694  .8624 

837   264   964  .7868 

46 

15 

.45787  .88902  .51503  1.9416 

.47332.88089.53732  1.8611 

.48862  .87250  .56003  1.7856 

45 

16 

813   888   540  .9402 

358   075   769  .8598 

888   235   041  .7844 

44 

17 

839   875   577  .9388 

383   062   807  .8585 

913   221   079  .7832 

43 

18 

865   862   614  .9375 

409   048   844  .8572 

938   207   117  .7820 

42 

19 

891   848   651  .9361 

434   034   882  .8559 

964   193   156  .7808 

4i 

20 

.45917  .88835  -5l688  1-9347 

.47460  .88020  .53920  1.8546 

.48989  .87178  .56194  1.7796 

40 

21 

942   822   724  .9333 

486   006   957  .8533 

.49014   164   232  .7783 

39 

22 

968   808   761  .9319 

511  .87993   995  .8520 

040   150   270  .7771 

38 

23 

994   795   798  .9306 

537   979  -54032  .8507 

065   136   309  .7759 

37 

24 

.46020   782   835  .9292 

562   965   070  .8495 

090   121   347  .7747 

36 

25 

.46046  .88768  .51872  1.9278 

.47588  .87951  .54107  1.8482 

.49116.87107.56385  1.7735 

35 

26 

°72   755   9°9  -9265 

614   937   145  .8469 

141   093   424  .7723 

34 

27 

097   74i   946  .9251 

639   923   183  .8456 

166   079   462  .7711 

33 

28 

123   728   983  .9237 

665   909   220  .8443 

192   064   501  .7699 

32 

29 

149   715  .52020  .9223 

690   896   258  .8430 

217   050   539  -7687 

3i 

30 

.46175  .88701  .52057  1.9210 

.47716  .87882  .54296  1.8418 

.49242  .87036  .56577  1.7675 

3° 

31 

201   688   094  .9196 

741   868   333  .8405 

268   021   616  .7663 

29 

32 

226   674   131  .9183 

767   854   371  .8392 

293   007   654  .7651 

28 

33 

252   661   168  .9169 

793   840   409  .8379 

318.86993   693  .7639 

27 

34 

278   647   205  .9155 

818   826   446  .8367 

344   978   73i  -7627 

26 

35 

.46304  .88634  .52242  1.9142 

.47844  .87812  .54484  1.8354 

.49369  .86964  .56769  1.7615 

25 

36 

330   620   279  .9128 

869   798   522  .8341 

394   949   808  .7603 

24 

37 

355   6o7   3i6  .9115 

S95   784   560  .8329 

419   935   846  .7591 

23 

38 

381   593   353  -9ioi 

920   770   597  .8316 

445   92i   885  .7579 

22 

39 

407   580   390  .9088 

946   756   635  .8303 

470   906   923  .7567 

21 

40 

.46433  .88566  .52427  1.9074 

.47971  .87743  .54673  1.8291 

.49495  .86892  .56962  1.7556 

20 

4i 

458   553   464  -9061 

997   729   7"  -8278 

521   878.57000  .7544 

19 

42 

484   539   5QI  -9047 

.48022   715   748  .8265 

546   863   039  .7532 

18 

43 

510   526   538  .9034 

048   701   786  .8253 

571   849   078  .7520 

17 

44 

536   512   575  -9020 

073   687   824  .8240 

596   834   116  .7508 

16 

45 

.46561  .88499  -52613  1.9007 

.48099  .87673  .54862  1.8228 

.49622  .86820  .57155  1.7496 

15 

46 

587   485   650  .8993 

124   659   900  .8215 

647   805   193  .7485 

14 

47 

613   472   687  .8980 

150   645   938  .8202 

672   791   232  .7473 

13 

48 

639   458   724  .8967 

*75   631   975  .8190 

697   777   271  .7461 

12 

49 

664   445   761  .8953 

201   617  .55013  .8177 

723   762   309  .7449 

11 

5o 

.46690  .88431  .52798  1.8940 

.48226.87603.55051  1.8165 

•49748  .86748  .57348  1.7437 

10 

5i 

716   417   836  .8927 

252   589   089  .8152 

773   733   386  .7426 

9 

52 

742   404   873  .8913 

277   575   127  .8140 

798   719   425  .7414 
824   704   464  .7402 

8 

53 

767   390   910  .8900 

303   561   165  .8127 

7 

54 

793   377   947  -8887 

328   546   203  .8115 

849   690   503  .7391 

6 

55 

.46819  .88363  .52985  1.8873 

.48354  .87532  .55241  1.8103 

.49874.86675  .57541  1.7379 

5 

56 

844   349  -53022  .8860 

379   518   279  .8090 

899   661   580  .7367 

4 

57 

870  336       059  .8847 

405   5°4   317  -8078 

924   646   619  .7355 

3 

58 

896   322   096  .8834 

430   490   355  .8065 

950   632   657  .7344 

2 

59 

921   308   134  .8820 

456   476   393  .8053 

975   617   696  .7332 

1 

60 

.46947  .88295  .53171  1.8807 

.48481  .87462  .55431  1.8040 

.50000  .86603  -57735  J-732i 

0 

Cos.   Sin.   Cot.   Tan, 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

62° 


61c 


60° 


74 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 
30°  31°  32° 


1  12 

13 

M 

r5 
16 

17 
18 
19 

20 


Sin,   Cos.   Tan.   Cot, 


Jin.   Cos.   Tan.   Cot. 


Cos, 


Tan,   Cot, 


.50000 
025 
050 
076 
101 

.50126 

176 
201 
227 
.50252 
277 
302 
327 
352 

•5°377 
403 
428 

453 
478 

•5°5°3 
528 
553 
578 
603 

.50628 
654 
679 
704 
729 

•50754 
779 
804 
829 
854 

.50879 
904 
929 
954 
979 

.51004 
029 

054 
079 
104 
.51129 
J54 
179 
204 
229 

•51254 
279 
304 
329 
354 

•5*379 
404 
429 
454 
479 

-5I5°4 


.86603 
588 
573 
559 
544 

.86530 

5i5 
501 
486 
47i 

.86457 
442 
427 
4i3 
398 

,86384 
369 
354 
340 
325 

,86310 

295 
281 
266 

251 
86237 
222 
207 
192 
178 
,86163 
148 

133 
119 
104 


074 
059 
045 
030 

,86015 
000 

85985 
970 

956 

85941 

926 

911 

896 

881 

85866 

851 

836 

821 

806 

.85792 

777 
762 

747 
732 

,85717 


•57735  1 
774 
813 

890 

•57929  1 
968 

.58007 
046 
085 

.58124  1 
162 
201 
240 
279 

.58318  1 
357 
396 
435 
474 

.58513  1 
552 
59i 
631 
670 

.58709  1 
748 
787 
826 
865 

.58905  1 
944 
983 

.59022 
061 

.59101  1 
140 
179 
218 
258 

•59297  1 
336 
376 
415 
454 

•59494  1 
533 
573 
612 

651 

.59691  1 
730 
770 
809 
849 

.59888  1 
928 
967 

.60007 
046 

.60086  1 


732i 
7309 
7297 
7286 
7274 
7262 
7251 

7239 
7228 
7216 
7205 

7193 
7182 
7170 
7159 
7H7 
7136 
7124 

7"3 
7102 

7090 
7079 
7067 
7056 
7045 

7°33 
7022 
701 1 


6977 
6965 
6954 
6943 
6932 

6920 
6909 
6898 
6887 
6875 
6864 

6853 
6S42 
6831 
6820 
6808 
6797 
6786 

6775 
6764 

6753 
6742 

6731 
6720 
6709 
6698 
6687 
6676 
6665 
6654 
6643 


.51504 
529 
554 
579 
604 

.51628 

653 
678 

703 
728 

•5J753 
778 
803 
828 
852 

•51877 
902 
927 
952 
977 

.52002 
026 

05 1 
076 
101 

.52126 
I51 
175 
200 
225 

.52250 

275 
299 

324 
349 

•52374 
399 
423 
448 
473 

•52498 
522 
547 
572 
597 

.52621 
646 
671 
696 
720 

•52745 
77o 
794 
819 
844 

.52869 

893 
918 

943 
967 

.52992 


•85717 
702 
687 
672 
657 

.85642 
627 
612 

597 
582 

•85567 
551 
536 

52I 
506 

.85491 
476 
461 
446 
43i 

.85416 
401 
385 
37° 
355 

.85340 

325 
310 

294 
279 

•85264 
249 
234 
218 
203 

.85188 
*73 
157 
142 
127 

.85112 
096 
081 
066 
051 

•85035 
020 
005 

.84989 
974 

•84959 
943 
928 
913 
897 

.84882 
866 

851 
836 
820 

.84805 


.60086 
126 
165 
205 

245 
.60284 
324 
364 
403 
443 
.60483 
522 
562 
602 
642 
,60681 
721 
761 
801 


921 
960 

,61000 
040 

,61080 
120 
160 
200 
240 

,61280 
320 
360 
400 
440 

61480 
520 
56i 
601 
641 

.61681 
721 
761 
801 
842 

61882 
922 
962 

62003 
043 

,62083 
124 
164 
204 
245 

,62285 
325 
366 
406 
446 

,62487 


1.6643 
.6632 
.6621 
.6610 
.6599 

1.6588 

•6577 
.6566 

•6555 
•6545 

I-6534 
•6523 
.6512 
.6501 
.6490 

1.6479 
.6469 
.6458 
.6447 
.6436 

1.6426 
.6415 
.6404 
■6393 
.6383 

1.6372 
.6361 

•6351 
.6340 

.6329 

1-6319 
.6308 
.6297 
.6287 
.6276 

1.6265 
.6255 
.6244 
.6234 
.6223 

1. 62 1 2 
.6202 
.6191 
.6181 
.6170 

1. 61 60 
.6149 
.6139 
.6128 
.6118 

1. 6107 
.6097 
.60S7' 
.6076 
.6066 

16055 
.6045 
.6034 
.6024 
.6014 

1.6003 


.52992 

•53017 
041 
066 
091 

•53II5 

140 
164 
1S9 
214 

.53238 
263 
288 
312 
337 

•5336i 
386 
411 

435 
460 

•53484 
5°9 
534 
558 
583 

■53607 
632 
656 
681 
705 

■53730 
754 
779 
804 
828 

.53853 
877 
902 

926 

95 1 

•53975 

.54000 

024 

049 

073 

•54097 
122 
146 
171 
195 

54220 
244 
269 
293 
3i7 

54342 
366 
39i 
415 
440 

.54464 


.84805 
789 
774 
759 
743 

.84728 
712 
697 
681 
666 

.84650 
635 
619 
604 
588 

•84573 
557 
542 
526 
5" 

84495 
480 
464 
448 
433 

,84417 
402 
386 
370 
355 

•84339 
324 
308 
292 
277 

.84261 

245 
230 
214 
198 
.84182 
167 
151 


.84104 
088 
072 

057 
041 

.84025 
009 

•83994 
978 
962 

,83946 
93° 
915 

899 

883 

.83867 


.62487 

527 
568 
608 
649 

.62689 
730 
77° 
811 

■  852 

62892 
933 
973 

.63014 

055 
.63095 
136 
177 
217 
258 
,63299 
340 
380 
421 
462 

63503 
544 
584 
625 
666 

,63707 
748 
789 
830 
871 

.63912 
953 
994 

.64035 
076 

.64117 
158 
199 
240 
281 

.64322 

363 
404 
446 
487 
.64528 

569 
610 

652 
693 

•64734 
775 
817 
858 
899 

.64941 


6003 
5993 
5983 
5972 
5962 

5952 
5941 
593i 
5921 
59" 
5900 
5890 
58S0 
5869 
5859 
5849 
5839 
5829 
5818 
5808 
5798 
57S8 
5778 
5768 
5757 
5747 
5737 
5727 
57*7 
5707 

5697 
5687 

5677 
5667 

5657 
5647 
5637 
5627 
5617 
5607 

5597 
5587 
5577 
5567 
5557 
5547 
5537 
5527 
5517 
5507 
5497 
5487 
5477 
5468 
5458 
5448 
5438 
5428 
54i8 
540S 

5399 


Cos. 


Sin. 


Cot. 


Tan. 


59° 


Cos.   Sin.   Cot.   Tan. 

68^ 


Cos.   Sin,   Cot.   Tan. 
57° 


NATURAL   SINES,   COSINES, 
33° 


TANGENTS, 
34° 


AND   COTANGENTS. 

35° 


75 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

.54464  .83867  .64941  1.5399 

.55919  .82904  .67451  1.4S26 

•57358  .81915  .7002!  1.4281 

60 

i 

488   851   982  .5389 

943   887   493  .4816 

381   899   064  .4273 

59 

2 

513   835  .65024  .5379 

968   871   536  .4807 

405   882   107  .4264 

58 

3 

537   819   065  .5369 

992   855   578  .4798 

429   865   151  .4255 

57 

4 

561   804   106  .5359 

.56016   839   620  .4788 

453   848   194  .4246 

56 

5 

.54586  .83788  .65148  1.5350 

.56040  .82822  .67663  1.4779 

.57477  -81832  .70238  1.4237 

55 

6 

610   772   189  .5340 

064   806   705  .4770 

501   815   281  .4229 

54 

7 

635   756   23i  -533° 

088   790   748  .4761 

524   798   325  -4220 

53 

8 

659   740   272  .5320 

112   773   790  .4751 

548   782   368  .4211 

52 

9 

683   724   3i4  -53" 

136   757   832  .4742 

572   765   412  .4202 

5i 

IO 

.54708  .83708  .65355  1.5301 

.56160.82741  .67875  1.4733 

.57596  .81748  .70455  1.4193 

50 

ii 

732   692   397  .5291 

184   724   917  .4724 

619   73i   499  4185 

49 

12 

756   676   438  .5282 

208   708   960  .4715 

643   714   542  4176 

48 

13 

781   660   480  .5272 

232   692  .68002  .4705 

667   698   586  .4167 

47 

14 

805   645   521  .5262 

256   675   045  .4696 

691   681   629  .4158 

46 

15 

.54829  .83629  .65563  1.5253 

.56280  .82659  .68088  1.4687 

.57715  .81664  -70673  1.415° 

45 

16 

854   613   604  .5243 

305   643   130  .4678 

738   647   717  .4141 

44 

17 

878   597   646  .5233 

329   626   173  .4669 

762   631   760  .4132 

43 

18 

902   581   688  .5224 

353   610   215  .4659 

786   614   804  .4124 

42 

19 

927   565   729  -52I4 

377   593   258  .4650 

810   597   848  .4115 

4i 

20 

•54951  -83549  -65771  1-5204 

.56401  .82577  .68301  1.4641 

.57833  .81580  .70891  1.4106 

40 

21 

975   533   813  .5195 

425   561   343  -4632 

857   563   935  4097 

39 

22 

999   5'7   854  .5185 

449   544   386  .4623 

881   546   979  .4089 

38 

23 

.55024   501   896  .5175 

473   528   429  -4614 

904   530.71023  .4080 

37 

24 

048   485   938  .5166 

497   5"   471  4605 

928   513   066  .4071 

36 

25 

.55072  .83469  .65980  1.5156 

.56521  .82495  -68514  14596 

.57952  .81496  .71110  1.4063 

35 

26 

097   453  -66021  .5147 

545   478   557  4586 

976   479   354  .4054 

34 

27 

121   437   063  .5137 

569   462   600  .4577 

999   462   198  .4045 

33 

28 

145   421   105  .5127 

593   446   642  .4568 

•58023   445   242  .4037 

32 

29 

169   405   147  .5118 

617   429   685  .4559 

047   428   285  .4028 

3i 

3° 

•55I94  83389  .66189  1.5108 

.56641  .82413  .68728  1.4550 

.58070  .81412  .71329  1.4019 

30 

31 

218   373   230  .5099 

665   396   77i  4541 

094   395   373  401 1 

29 

32 

242   356   272  .5089 

689   380   814  .4532 

118   378   417  .4002 

28 

33 

266   340   314  .5080 

713   363   857  .4523 

141   361   461  .3994 

27 

34 

291   324   356  .5070 

736   347   900  .4514 

165   344   505  .3985 

26 

35 

•55315  -83308  .66398  1.5061 

.56760  .82330  .68942  1.4505 

.58189  .81327  .71549  1.3976 

25 

36 

339   292   440  .5051 

784   314   985  .4496 

212   310   593  .3968 

24 

37 

363   276   482  .5042 

808   297  .69028  .4487 

236   293   637  .3959 

23 

38 

388   260   524  .5032 

832   281   071  .4478 

260   276   681  .3951 

22 

39 

412   244   566  .5023 

856   264   114  .4469 

283   259   725  .3942 

21 

40 

.55436  .83228  .66608  1. 501 3 

.56880  .82248  .69157  1.4460 

.58307  .81242  .71769  1.3934 

20 

4i 

460   212   650  .5004 

904   231   200  .4451 

330   225   813  .3925 

19 

42 

484   195   692  .4994 

928   214   243  .4442 

354   208   857  .3916 

18 

43 

509   179   734  .4985 

952   198   286  .4433 

378   191   901  .3908 

17 

44 

533   163   776  -4975 

976   181   329  .4424 

401   174   946  .3899 

16 

45 

•55557  -83147  -66818  1.4966 
581   131   860  .4957 

.57000  .82165  -69372  1.4415 

.58425  .81157  .71990  1.3891 

15 

46 

024   148   416  .4406 

449   140  .72034  .3882 

14 

47 

605   115   902  .4947 

047   132   459  4397 

472   123   078  .3874 

13 

48 

630   098   944  .4938 

071   115   502  .4388 

496   106   122  .3865 

12 

49 

654   082   986  .4928 

095   098   545  -4379 

519   089   167  .3857 

11 

50 

.55678  .83066  .67028  1.4919 

.57119  .82082  .69588  1.4370 

.58543.81072.72211  1.3848 

10 

5i 

702   050   071  .4910 

143   065   631  .4361 

567   055   255  .3840 
590   038   299  .3831 

9 

52 

726   034   113  .4900 

167   048   675  .4352 

8 

53 

75°   OI7   155  4891 

191   032   718  .4344 

614   021   344  .3823 

7 

54 

775   001   197  .4882 

215   015   761  .4335 

637   004   388  .3814 

6 

55 

•55799  -82985  .67239  1.4872 

.57238  .81999  .69804  1.4326 

.58661  .80987  .72432  1.3806 

5 

56 

823   969   282  .4863 

262   982   847  .4317 

684   970   477  .3798 

4 

57 

847   953   324  -4854 

286   965   891  .430S 

708   953   521  .3789 

3 

58 

871   936   366  .4844 

310   949   934  .4299 

73i   936   565  -3781 

2 

59 

895   920   409  .4835 

334   932   977  4290 

755   919   610  .3772 

1 

60 

.55919  .82904  .67451  1.4826 

.57358  .81915  .70021  1.4281 

.58779  .80902  .72654  1.3764 

0 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan.   M. 

56c 


55° 


54° 


76 


NATURAL   SINES,   COSINES,   TANGENTS,   AND   COTANGENTS. 
36°  37°  38° 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

.58779  .80902  .72654  1.3764 

.60182  .79864  .75355  1.3270 

.61566  .78801  .78129  1.2799 

60 

i 

802   885   699 

3755 

205   846   401  .3262 

589   783   175  -2792 

59 

2 

826   867   743 

3747 

228   829   447  .3254 

612   765   222  .2784 

58 

3 

849   850   788 

3739 

251   811   492  .3246 

635   747   269  .2776 

57 

4 

873   833   832 

3730 

274   793   538  -3238 

658   729   316  .2769 

56 

5 

.58896  .80816  .72877  1 

3722 

•60298  .79776  .75584  1.3230 

.61681  .78711  .78363  1. 2761 

55 

6 

920   799   921 

37!3 

321   758   629  .3222 

704   694   410  .2753 

54 

7 

943   782   966 

3705 

344   74i   675  .3214 

726   676   457  .2746 

53 

8 

967   765  -730IO 

3697 

367   723   721  .3206 

749   658   504  .2738 

52 

9 

990   748   055 

36S8 

390   706   767  .3198 

772   640   551  .2731 

5i 

IO 

.59014  .80730  .73100  1 

3680 

.60414  .79688  .75812  1. 3190 

.61795  .78622  .78598  1.2723 

50 

ii 

037   7!3   144 

3672 

437   671   858  .3182 

818   604   645  .2715 

49 

12 

061   696   189 

3663 

460   653   904  .3175 

841   586   692  .2708 

48 

13 

084   679   234 

3655 

483   635   950  .3167 

864   568   739  .2700 

47 

14 

108   662   278 

3647 

506   618   996  .3159 

887   550   786  .2693 

46 

15 

.59131  .80644  .73323  1 

3638 

.60529  .79600  .76042  1.3151 

.61909  .78532  .78834  1.2685 

45 

16 

154   627   368 

3630 

553   583   088  .3143 

932   514   881  .2677 

44 

17 

178   610   413 

3622 

576   565   134  .3135 

955   496   928  .2670 
978   478   975  .2662 

43 

18 

201   593   457 

3613 

599   547   180  .3127 

42 

19 

225   576   502 

3605 

622   530   226  .3119 

.62001   460  .79022  .2655 

4i 

20 

.59248  .80558  .73547  1 

3597 

.60645  .79512  .76272  1.3m 

.62024  .78442  .79070  1.2647 

40 

21 

272   541   592 

3588 

668   494   318  .3103 

046   424   117  .2640 

39 

22 

295   524   637 
318   507   681 

358o 

691   477   364  -3°95 

069   405   164  .2632 

38 

23 

3572 

714   459   410  .3087 

092   387   212  .2624 

37 

24 

342   489   726 

3564 

738   441   456  -3°79 

115   369   259  .2617 

36 

25 

.59365  .80472  -73771  1 

3555 

.60761  .79424  .76502  1.3072 

.62138  .78351  .79306  1.2609 

35 

26 

389   455   816 

3547 

784   406   548  .3064 

160   333   354  .2602 

34 

27 

412   438   861 

3539 

807   388   594  .3056 

183   315   401  .2594 

33 

28 

436   420   906 

353i 

830   371   640  .3048 

206   297   449  .2587 

32 

29 

459   403   95 1 

3522 

853   353   686  .3040 

229   279   496  .2579 

3i 

30 

.59482  .80386  .73996  1 

35H 

•60876  .79335  .76733  1.3032 

.62251  .78261  .79544  1.2572 

30 

31 

506   368 .74041 

35°6 

899   3i8   779  -3024 

274   243   591  .2564 

29 

32 

529   351   086 

3498 

922   300   825  3017 

297   225   639  .2557 

28 

33 

552   334   131 

349° 

945   282   871  .3009 
968   264   918  .3001 

320   206   686  .2549 

27 

34 

576   316   176 

348i 

342   188   734  .2542 

26 

35 

.59599  .80299  .74221  1 

3473 

.60991  .79247  .76964  1.2993 

.62365  .78170.79781  1.2534 
388   152   829  .2527 

25 

36 

622   282   267 

3465 

.61015   229  .77010  .2985 

24 

37 

646   264   3 1 2 

3457 

038   211   057  .2977 

411   134   877  .2519 

23 

38 

669   247   357 

3449 

061   193   103  .2970 

433   116   924  .2512 

22 

39 

693   230   402 

3440 

084   176   149  .2962 

456   098   972  .2504 

21 

40 

.59716  .80212  .74447  1 

3432 

•61 107  .79158  .77196  1.2954 

.62479  .78079  .80020  1.2497 

20 

4i 

739   195   492 

3424 

130   140   242  .2946 

502   061   067  .2489 

19 

42 

763   178   538 

34i6 

153   122   289  .2938 

524   043   115  .2482 

18 

43 

786   160   583 

3408 

176   105   335  -2931 

547   °25   l63  -2475 

17 

44 

809   143   628 

3400 

199   087   382  .2923 

570   007   211  .2467 

16 

45 

.59832  .80125  .74674  1 

3392 

.61222  .79069  .77428  1. 2915 

.62592  .77988  .80258  1.2460 

15 

46 

856   108   719 

3384 

245   °5i   475  -2907 
268   033   521  .2900 

615   970   306  .2452 

14 

47 

879   091   764 

3375 

638   952   354  -2445 

13 

48 

902   073   810 

3367 

291   016   568  .2892 

660   934   402  .2437 

12 

49 

926   056   855 

3359 

314.78998   615  .2884 

683   916   450  .2430 

11 

5° 

.59949  .80038  .74900  1 

335i 

.61337  .78980  .77661  1.2876 

.62706  .77897  .80498  1.2423 

10 

5i 

972   021   946 

3343 

360   962   708  .2869 

728   879   546  .2415 

9 

52 

995   °°3   99i 

3335 

383   944   754  -2861 

751   861   594  .2408 

8 

53 

.60019  .79986  .75037 

3327 

406   926   801  .2853 

774   843   642  .2401 

7 

54 

042   968   082 

3319 

429   908   848  .2846 

796   824   690  .2393 

6 

55 

.60065  .79951  .75128  1 

33" 

.61451  .78891  .77895  1.2838 

.62819  .77806  .80738  1.23S6 

5 

56 

089   934   173 

3303 

474   873   941  .2830 

842   788   786  .2378 

4 

57 

112   916   219 

3295 

497   855   988  .2822 

864   769   834  .2371 

3 

58 

135   899   264 
158   881   310 

3287 

520   837  .78035  .2815 

887   751   882  .2364 

2 

59 

3278 

543   819   082  .2807 

909   733   930  .2356 

1 

60 

.60182  .79864  .75355  ' 

3270 

.61566  .78S01  .78129  1.2799 

.62932  .77715  .80978  1.2349 

0 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

53° 


52° 


51° 


NATURAL   SINES,   COSINES,   TANGENTS,    AND   COTANGENTS. 
39°  40°  41° 


77 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos.   Tan. 

Cot. 

Sin.   Cos.   Tan. 

Cot. 

o 

.62932  .77715  .80978  1.2349 

.64279  .76604  .83910  1. 

1918 

.65606  .75471  .86929  1 

i5°4 

60 

i 

955   696.81027  .2342 

301   586   960  . 

1910 

628   452   980 

1497 

59 

2 

977   678   075  .2334 

323   567  .84009  . 

1903 

650   433  .87031 

1490 

58 

3 

.63000   660   123  .2327 

346   548   059  . 

1896 

672   414   082 

1483 

57 

4 

022   641   171  .2320 

368   530   108  . 

1889 

694   395  *33 

H77 

56 

5 

.63045  .77623  .81220  1. 2312 

.64390.76511  .84158  1. 

1882 

•657!6 -75375  -87184  1 

1470 

55 

6 

068   605   268  .2305 

412   492   208  . 

1875 

738   356   236 

1463 

54 

7 

090   586   316  .2298 

435   473   258  . 

1 868 

759   337   287 

1456 

53 

8 

113   568   364  .2290 

457   455   307  • 

1861 

781   3i8   338 

1450 

52 

9 

i35   55°   4i3  -2283 

479   436   357  • 

1854 

803   299   389 

1443 

5i 

IO 

.63158  .77531  .81461  1.2276 
180   513   510  .2268 

.64501  .76417  .84407  1. 

1847 

.65825  .75280  .87441  1 

1436 

50 

ii 

524   398   457  . 

1S40 

847   261   492 

H3o 

49 

12 

203   494   558  -2261 

546   380   507  . 

1833 

869   241   543 

1423 

48 

13 

225   476   606  .2254 

568   361   556  . 

1826 

891   222   595 

1416 

47 

14 

248   458   655  .2247 

590   342   606  . 

1819 

913   203   646 

1410 

46 

15 

•63271  77439-8i703  1-2239 

.64612  .76323  .84656  1. 

1812 

•65935  -75l84  -87698  1 

1403 

45 

16 

293   421   752  -2232 

635   304   706  • 

1806 

956   165   749 

1396 

44 

17 

316   402   800  .2225 

657   286   756  . 

1799 

978   146   801 

1389 

43 

18 

338   384   849  .2218 

679   267   806  . 

1792 

.66000   126   852 

1383 

42 

19 

361   366   898  .2210 

701   248   856  . 

1785 

022   107   904 

1376 

4i 

20 

•63383  -77347  -81946  1.2203 

.64723  .76229  .84906  1. 

1778 

.66044  .75088  .87955  1 

1369 

40 

21 

406   329   995  .2196 

746   210   956  . 

1771 

066   069  .88007 

1363 

39 

22 

428   310  .82044  .2189 

768   192  .85006  . 

1764 

088   050   059 

1356 

38 

23 

451   292   092  .2181 

79o   173   057  • 

1757 

109   030   no 

1349 

37 

24 

473   273   141  .2174 

812   154   107  . 

1750 

131   on   162 

1343 

36 

25 

.63496  .77255  .82190  1.2167 

.64834  .76135  .85157  1. 

1743 

.66153  .74992  .88214  1 

1336 

35 

26 

518   236   238  .2160 

856   116   207  . 

1736 

175   973   265 

1329 

34 

27 

540   218   287  .2153 

878   097   257  . 

1729 

197   953   317 

1323 

33 

28 

563   199   336  2145 

901   078   308  . 

1722 

218   934   369 

1316 

32 

29 

585   181   385  .2138 

923   059   35S  . 

1715 

240   915   421 

1310 

3i 

3° 

.63608  .77162  .82434  1.2131 

.64945  .76041  .85408  1. 

1708 

.66262  .74896  .88473  ' 

1303 

30 

31 

630   144   483  .2124 

967   022   458  . 

1702 

284    876    524 

1296 

29 

32 

653   125   531  .2117 

989   003   509  . 

1695 

306    857    576 

1290 

28 

33 

675   io7   580  .2109 

.65011  .75984   559  . 

1688 

327    838    628 

1283 

27 

34 

698   088   629  .2102 

033   965   609  . 

1681 

349   818   6S0 

1276 

26 

35 

.63720  .77070  .82678  1.2095 
742   051   727  .2088 

.65055  .75946  .85660  1. 

1674 

•66371  .74799  -88732  1 

1270 

25 

36 

077   927   710  . 

1667 

393   78o   784 

1263 

24 

37 

765   033   776  .2081 

100   908   761  . 

1660 

414   760   836 

1257 

23 

38 

787   014   825  .2074 

122   889   811  . 

1653 

436   741   888 

1250 

22 

39 

810  .76996   874  .2066 

144   870   862  . 

1647 

458   722   940 

1243 

21 

40 

.63832  .76977  .82923  1.2059 

.65166  .75851  .85912  1. 

1640 

.66480  .74703  .88992  1 

1237 

20 

4i 

854   959   972  .2052 

188   832   963  . 

1633 

501   683  .89045 

1230 

19 

42 

877   940 .83022  .2045 

210   813  .86014  • 

1626 

523   664   097 

1224 

18 

43 

899   921   071  .2038 

232   794   064  . 

1619 

545   644   149 

1217 

17 

44 

922   903   120  .2031 

254   775   "5  • 

1612 

566   625   201 

1211 

16 

45 

.63944  .76884  .83169  1.2024 

.65276  .75756  .86166  1. 

1606 

.66588  .74606  .89253  1 

1204 

15 

46 

966   866   218  .2017 

298   738   216  . 

1599 

610   586   306 

1 197 

14 

47 

989   847   268  .2009 

320   719   267  . 

1592 

632   567   358 

1191 

13 

48 

.64011   828   317  .2002 

342   700   318  . 

1585 

653   548   410 

1 184 

12 

49 

033   810   366  .1995 

364   680   368  . 

1578 

675   528   463 

1178 

n 

50 

.64056  .76791  .83415  1. 1988 

.65386  75661  .86419  1. 

i57i 

.66697  -745°9  -895 1 5  ' 

1171 

10 

5i 

078   772   465  .1981 

408   642   470  . 

1565 

718   489   567 

1165 

9 

52 

100   754   514  .1974 

430   623   521  . 

1558 

740   470   620 

1158 

8 

53 

123   735   564  .1967 

452   604   572  . 

!55i 

762   451   672 

1152 

7 

54 

145   717   613  .i960 

474   585   623  . 

1544 

783   431   725 

1 145 

6 

55 

.64167  .76698  .83662  1. 1953 

.65496  .75566  .86674  1. 

1538 

.66805  .74412  .89777  1 

"39 

5 

56 

190   679   712  .1946 

518   547   725  . 

1531 

827   392   830 

1132 

4 

57 

212   661   761  .1939 

540   528   776  . 

1524 

848   373   883 

1126 

3 

58 

234   642   811  .1932 

562   509   827  . 

1517 

870   353   935 

1119 

2 

59 

256   623   860  .1925 

584   490   878  . 

1510 

891   334   988 

1113 

1 

60 

.64279  .76604  .83910  1.1918 

.65606  .75471  .86929  1. 

i5°4 

•66913  .74314  -90040  1 

1 106 

0 

Cos,   Sin.   Cot.   Tan. 

Cos.   8in.   Cot.  1 

Pan. 

Cos.   Sin.   Cot. 

ran. 

50° 


49° 


48° 


78  NATURAL   SINES,    COSINES,   TANGENTS,   AND   COTANGENTS. 

42°  43°  44° 


M. 

Sin.   Cos.   Tan.   Cot. 

Sin.   Cos,   Tan.   Cot. 

Sin.   Cos.   Tan.   Cot. 

o 

•66913  -74314  .90040  I.I  106 

.68200.73135  .93252  1.0724 

•69466  .71934  -96569  1-0355 

60 

i 

935   295   °93  ■"GO 

221    116   306  .0717 

487   914   625  .0349 

59 

2 

956   276   146  .1093 

242   096   360  .0711 

508   894   681  .0343 

58 

3 

978   256   199  .1087 

264   076   415  .0705 

529   873   738  .0337 

57 

4 

999   237   251  .1080 

285   056   469  .0699 

549   853   794  .0331 

56 

5 

.67021  .74217  .90304  1. 1074 

.68306  .73036  .93524  I.0692 

.69570  .71833  .96850  1.0325 

55 

6 

043   198   357  -1067 

327   016   578  .0686 

591   813   907  .0319 

54 

7 

064   17S   410  .1061 

349  -72996   633  .0680 

612   792   963  .0313 

53 

8 

086   159   463  .1054 

370   976   688  .0674 

633   772  -9702o  -0307 

52 

9 

io7  139       516  .1048 

391   957   742  .0668 

654   752   076  .0301 

5i 

IO 

.67129  .74120  .90569  1.1041 

.68412  .72937  .93797  1 .066 1 

•69675  •7I732  -97I33  1-0295 

50 

ii 

151   100   621  .1035 

434   917   852  .0655 

696   711   189  .0289 

49 

12 

172   0S0   674  .1028 

455   897   906  .0649 

717   691   246  .0283 

48 

13 

194   061   727  .1022 

476   877   961  .0643 

737   671   302  .0277 

47 

14 

215   041   781  .1016 

497   S57  .94016  .0637 

758   650   359  .0271 

46 

15 

.67237  .74022  .90834  1. 1009 

.68518  .72837  .94071  1.0630 

•69779  -7J630  .97416  1.0265 

45 

16 

258   002   887  .1003 

539   817   125  .0624 

800   610   472  .0259 

44 

17 

280  .739S3   940  .0996 

561   797   180  .0618 

821   590   529  .0253 

43 

18 

301   963   993  .0990 

582   777   235  .0612 

842   569   586  .0247 

42 

19 

323   944  .91046  .09S3 

603   757   290  .0606 

862   549   643  .0241 

4i 

20 

•67344  73924  -91099  1.0977 

.6S624  .72737  .94345  1.0599 

.69883  .71529  .97700  1.0235 

40 

21 

366   904   153  .0971 

645   717   400  .0593 

904   508   756  .0230 

39 

22 

387   8S5   206  .0964 

666   697   455  .0587 

925   488   813  .0224 

38 

23 

409   865   259  .0958 

688   677   510  .0581 

946   468   870  .0218 

37 

24 

430   846   313  .0951 

7°9   657   565  .0575 

966   447   927  .0212 

36 

25 

.67452  .73826  .91366  1.0945 

.68730  .72637  .94620  1.0569 

.69987  .71427  .97984  1.0206 

35 

26 

473   806   419  .0939 

751   617   676  .0562 

.70008   407  .98041  .0200 

34 

27 

495   787   473  -0932 

772   597   73i  -0556 

029   386   098  .0194 

33 

28 

516   767   526  .0926 

793   577   786  .0550 

049   366   155  .0188 

32 

29 

538   747   5So  -0919 

814   557   841  .0544 

070   345   213  .0182 

3i 

30 

•67559  -73728  -91633  1-0913 

.68835  .72537  .94896  1.0538 

.70091  .71325  .98270  1.0176 

30 

31 

580   708   687  .0907 

857   5'7   952  -0532 

112   305   327  .0170 

29 

32 

602   6SS   740  .0900 

878   497  .95007  .0526 

132   284   384  .0164 

28 

33 

623   669   794  .0894 

899   477   062  .0519 

153   264   441  .0158 

27 

34 

645   649   847  .088S 

920   457   118  .0513 

174   243   499  .0152 

26 

35 

.67666  .73629  .91901  1.0S81 

.68941  .72437  .95173  1.0507 

.70195  .71223  .98556  1.0147 

25 

36 

688   610   955  .0875 

962   417   229  .0501 

215   203   613  .0141 

24 

37 

709   590  .92008  .0869 

983   397   284  .0495 

236   182   671  .0135 

23 

38 

73°   57°   062  .0S62 

•69004   377   340  .0489 

257   162   728  .0129 

22 

39 

752   551   116  .0856 

025   357   395  -04S3 

277   141   786  .0123 

21 

40 

•67773-7353I  -92170  1-0850 

.69046.72337  .95451  1.0477 

.70298  .71121  .98843  1.0117 

20 

41 

795   5"   224  .0843 

067   317   506  .0470 

319   100   901  .0111 

19 

42 

816   491   277  .0837 

088   297   562  .0464 

339   0S0   958  .0105 

18 

43 

837   472  33*    -oS3i 

109   277   618  .0458 

360   059  .99016  .0099 

17 

44 

859   452   385  .0824 

130   257   673  .0452 

381   039   073  .0094 

16 

45 

.67SS0  .73432  .92439  1.0818 

.69151  .72236  .95729  1.0446 

.70401  .71019  .99131  1.00S8 

15 

46 

901   413   493  .0812 

172   216   785  .0440 

422  .70998   189  .0082 

M 

47 

923   393   547  -0805 

193   196   841  .0434 

443   978   247  .0076 

13 

48 

944   373   601  .0799 

214   176   897  .0428 

463   957   3°4  -0070 

12 

49 

965   353   655  .0793 

235   156   952  -°422 

484   937   362  .0064 

11 

50 

•67987  -73333  -92709  1-0786 

.69256  .72136  .96008  1.0416 

.70505  .70916  .99420  1.0058 

10 

5i 

.68008   314   763  .07S0 

277   116   064  .0410 

525   896   478  .0052 

9 

52 

029   294   817  .0774 

298   095   120  .0404 

546   875   536  .0047 

8 

53 

051   274   872  .076S 

319   075   176  .0398 

567   855   594  .0041 

7 

54 

072   254   926  .0761 

340   055   232  .0392 

5S7   834   652  .0035 

6 

55 

.68093  .73234  .92980  1.0755 

.69361  .72035  .96288  1.0385 

.70608  .70813  .99710  1.0029 

5 

56 

115   215.93034  .0749 

3S2   015   344  .0379 

628   793   768  .0023 

4 

57 

136   195   088  .0742 

403  .71995   400  .0373 

649   772   826  .0017 

3 

58 

157   175   143  .0736 

424   974   457  -0367 

670   752   884  .0012 

2 

59 

179   155   197  -073° 

445   954   5»3  -0361 

690   731   942  .0006 

1 

60 

.68200  .73135  .93252  1.0724 

.69466.71934.96569  1.0355 

.70711  .70711  1.0000  1. 0000 

0 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

Cos.   Sin.   Cot.   Tan. 

M. 

47c 


46° 


45c 


0° 


AUXILIARY    TABLE   FOR   SMALL   ANGLES. 
P  2°  3° 


79 


'» 

Sin. 

Tan. 

Sin. 

Tan. 

Sin. 

Tan. 

Sin. 

Tan. 

Sin. 

Tan, 

M. 

4- 

38 

4- 

38 

4.68 

4.68 

4.68 

o 

5575 

5575 

5553 

5619 

5487 

5751 

5376 

5972 

5222 

6281 

0 

I 

5575 

5575 

5552 

5620 

5485 

5754 

5374 

5976 

5219 

6287 

1 

2 

5575 

5575 

5551 

5622 

54*4 

5757 

5372 

598i 

5216 

6293 

2 

3 

5575 

5575 

5551 

5623 

5482 

5760 

5370 

5985 

5213 

6299 

3 

4 

5575 

5575 

555o 

5625 

548i 

5763 

5367 

5990 

5210 

6305 

4 

5 

5575 

5575 

5549 

5627 

5479 

5766 

5365 

5994 

5207 

631 1 

5 

6 

5575 

5575 

5548 

5628 

5478 

5769 

5363 

5999 

5204 

6317 

6 

7 

5575 

5575 

5547 

563° 

5476 

5773 

536i 

6004 

5201 

6323 

7 

8 

5574 

5576 

5547 

5632 

5475 

5776 

5358 

6008 

5198 

6329 

8 

9 

5574 

5576 

5546 

5633 

5473 

5779 

5356 

6013 

5195 

6335 

9 

IO 

5574 

5576 

5545 

5635 

5471 

5782 

5354 

6017 

5192 

6341 

10 

ii 

5574 

5576 

5544 

5637 

547° 

5785 

5351 

6022 

5189 

6348 

11 

12 

5574 

5577 

5543 

5638 

5468 

5788 

5349 

6027 

5186 

6354 

12 

13 

5574 

5577 

5542 

5640 

5467 

5792 

5347 

6031 

5183 

6360 

13 

14 

5574 

5577 

554i 

5642 

5465 

5795 

5344 

6036 

5180 

6366 

14 

15 

5573 

5578 

5540 

5644 

5463 

5798 

5342 

6041 

5177 

6372 

15 

16 

5573 

5578 

5539 

5646 

5462 

5802 

5340 

6046 

5173 

6379 

16 

17 

5573 

5578 

5539 

5648 

5460 

5805 

5337 

6051 

5'7° 

6385 

17 

18 

5573 

5579 

5538 

5M 

5458 

5808 

5335 

6055 

5l67 

6391 

18 

19 

5573 

5579 

5537 

5651 

5457 

5812 

5332 

6060 

5164 

6398 

19 

20 

5572 

558o 

5536 

5653 

5455 

5815 

5330 

6065 

5161 

6404 

20 

21 

5572 

558o 

5535 

5655 

5453 

5818 

5327 

6070 

5158 

6410 

21 

22 

5572 

558i 

5534 

5657 

545i 

5822 

5325 

6075 

5*54 

6417 

22 

33 

5572 

558i 

5533 

5659 

5450 

5825 

5322 

6080 

5I5o 

6423 

23 

24 

557i 

5582 

5532 

5661 

5448 

5829 

532o 

6085 

5H8 

6430 

24 

25 

5571 

5583 

553i 

5663 

5446 

5833 

5317 

6090 

5J45 

6436 

25 

26 

557i 

5583 

5530 

5665 
5668 

5444 

5836 

5315 

6095 

5141 

6443 

26 

27 

5570 

5584 

5529 

5443 

5840 

5312 

6100 

5138 

6449 

27 

28 

5570 

5584 

5527 

5670 

5441 

5843 

53io 

6105 

5U5 

6456 

28 

29 

557o 

5585 

5526 

5672 

5439 

5847 

5307 

61 10 

5^2 

6462 

29 

30 

5569 

5586 

5525 

5674 

5437 

5851 

5305 

6116 

5128 

6469 

30 

31 

5569 

5587 

5524 

5676 

5435 

5854 

5302 

6121 

5I25 

6476 

3i 

32 

5569 

5587 

5523 

5679 

5433 

5858 

5300 

6126 

5122 

6482 

32 

33 

5568 

5588 

5522 

5681 

543i 

5862 

5297 

6131 

5"8 

6489 

33 

34 

5568 

5589 

552i 

5683 

5430 

5866 

5294 

6136 

5"5 

6496 

34 

35 

5567 

5590 

552° 

5685 

5428 

5869 

5292 

6142 

5112 

6503 

35 

36 

5567 

559i 

55i8 

5688 

5426 

5873 

5289 

6147 

5108 

6509 

36 

37 

5566 

5592 

55i7 

5690 

5424 

5877 

5286 

6152 

5io5 

6516 

37 

38 

5566 

5593 

5516 

5693 

5422 

5881 

5284 

6158 

5101 

6523 

38 

39 

5566 

5593 

5515 

5695 

5420 

5885 

5281 

6163 

5098 

6530 

39 

40 

5565 

5594 

5514 

5697 

54i8 

5889 

5278 

6168 

5°95 

6537 

40 

4i 

5565 

5595 

55" 

57°° 

54i6 

5893 

5276, 

6174 

5°2' 

6544 

4i 

42 

5564 

5596 

55" 

5702 

54H 

5897 

5273 

6179 

5088 

6551 

42 

43 

5564 

5598 

55io 

5705 

5412 

5900 

5270 

6185 

5084 

6557 

43 

44 

5563 

5599 

5509 

5707 

54io 

5905 

5268 

6190 

5081 

6564 

44 

45 

5562 

5600 

55°7 

57io 

5408 

5909 

5265 

6196 

5°77 

6571 

45 

46 

5562 

5601 

55°6 

5713 

5406 

5913 

5262 

6201 

5°74 

6578 

46 

47 

556i 

5602 

5505 

5715 

5404 

5917 

5259 

6207 

5070 

6585 

47 

48 

556i 

5603 

5503 

57.8 

5402 

592i 

5256 

6212 

5067 

6593 

48 

49 

5560 

5604 

55°2 

5720 

5400 

5925 

5254 

6218 

5o63 

6600 

49 

5o 

556o 

56o5 

55oi 

5723 

5398 

5929 

5251 

6224 

5060 

6607 

5° 

5i 

5559 

5607 

5499 

5726 

5396 

5933 

5248 

6229 

5056 

6614 

5i 

52 

5558 

5608 

5498 

5729 

5394 

5937 

5245 

6235 

5053 

6621 

52 

53 

5558 

5609 

5497 

5731 

5392 

5942 

5242 

6241 

5049 

6628 

53 

54 

5557 

561 1 

5495 

5734 

5389 

5946 

5239 

6246 

5045 

6635 

54 

55 

5556 

5612 

5494 

5737 

5387 

5950 

5237 

6252 

5042 

6643 

55 

56 

5556 

5613 

5492 

5740 

5385 

5955 

5234 

6258 

5038 

6650 

56 

57 

5555 

5615 

5491 

5743 

5383 

5959 

5231 

6264 

5°34 

6657 

57 

58 

5554 

5616 

5490 

5745 

538i 

5963 

5228 

6269 

5°3i 

6665 

58 

59 

5554 

5618 

5488 

5748 

5379 

5968 

5225 

6275 

5027 

6672 

59 
K. 

M. 

Sin, 

Tan, 

Sin. 

Tan. 

Sin. 

Tan. 

Sin. 

Tan. 

Sin. 

Tan. 

14  DAY  USE 

RETURN  TO  DESK  FROM  WHICH  BORROWED 

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Renewed  books  are  subject  to  immediate  recall. 

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JAlfetf  1971 

JAN  £0 1962 

jAr/fctnaa 

—f»*r-mA 

m  i  9^1966 

JAN  ££  1970 

JMd**ll970 

WAR  *  fcjSB 

AUG     5 1970 

OCT  2  8  1970 

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